Real World Applications Quizzes, Questions & Answers

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Heights And Distances Quizzes

Test Your Knowledge About Heights and distances

Height measures the vertical distance of an objects by determining how tall it is. On the other hand, a distance is the numerical measurement of how far apart an object or objects ...

Questions: 10 | Attempts: 359 | Last updated: Mar 21, 2025

Sample Question
What's the other term for altitude?

Attitude

Longitude

Height

Length

Finding Heights Using Angles of Elevation

Ready to see how trigonometry applies to the world around you? In this quiz, you’ll use angles of elevation and trigonometric ratios to find the heights of buildings, trees, ...

Questions: 20 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
A student stands 40 m away from a building. The angle of elevation is 35°. Estimate the building’s height.

28 m

30 m

33 m

35 m

Finding Height Differences with Angles of Depression

Ever wondered how pilots, sailors, or surveyors calculate distances without touching the ground? In this quiz, you’ll apply angles of depression to find how far away or ...

Questions: 20 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
From the top of a 50 m lighthouse, the angle of depression to a boat is 12°. Find approximate the horizontal distance to the boat.

230 m

235 m

240 m

245 m

All Heights And Distances Quizzes

Angle Of Elevation Quizzes

Secondary 3 Express Trigonometry Quiz

Get ready to tackle the "Secondary 3 Express Trigonometry Quiz," a formidable test of your trigonometric prowess. Trigonometry, a crucial and demanding branch of mathemat...

Questions: 10 | Attempts: 7387 | Last updated: Oct 16, 2025

Sample Question
In the diagram below, a diver is to retrieve an object that is 14m away from the wall of a swimming pool. It is given that the angle of depression of the object from the pool platform is 30°. Find the vertical distance the diver has to swim in order to retrieve the object, correct to 3 significant figures.

7.00m

12.1m

24.2m

8.08m

Trigonometry Practice Problems! Math Trivia Quiz

Enhance your understanding of trigonometry with this engaging Trigonometry Practice Problems! Math Trivia Quiz. Tackle real-world problems involving angles of elevation, distances,...

Questions: 17 | Attempts: 661 | Last updated: Oct 05, 2025

Sample Question
A photographer points his camera to the top of a building forming an angle of elevation of 50a. If he stands 70 meters from the building, how tall is the building?

83.4 meters

45 meters

53.6 meters

Trigonometry Unit Test (Honors)

This Trigonometry Unit Test assesses advanced understanding and application of trigonometric principles. Questions involve calculating angles, distances, and side lengths using tri...

Questions: 25 | Attempts: 178 | Last updated: Mar 21, 2025

Sample Question
A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?

68.2 degrees

21.57 degrees

42.92 degrees

All Angle Of Elevation Quizzes

Angle Of Depression Quizzes

Angle of Depression: Setting Up Right-Triangle Relationships

Build the habit of sketching and labeling right away so you can spot which trig ratio to use. You’ll translate real scenes (cliffs, balconies, drones) into right triangles, m...

Questions: 20 | Attempts: 15 | Last updated: Dec 11, 2025

Sample Question
From the top of a 60 m building, the angle of depression to a car on level ground is 25°. What is the horizontal distance to the car?

28 m

128 m

140 m

64 m

Angle of Depression Problems: Calculate Horizontal, Vertical & Slant Distances

Put the setups to work. Use tan, sin, and cos to find horizontal distances, heights, and line-of-sight lengths from angles and one known side. You’ll choose the right equatio...

Questions: 20 | Attempts: 14 | Last updated: Dec 11, 2025

Sample Question
From the top of a 60 m lighthouse, the angle of depression to a boat is 25°. What is the horizontal distance from the base to the boat (nearest meter)?

140 m

128.7 m

112 m

224 m

Real-World Modeling with Angles of Depression/Elevation

Apply the method to lifelike contexts—lighthouses, cranes, ramps, drones, and roads. You’ll read what the numbers mean (slope, visibility, clearance), decide whether yo...

Questions: 20 | Attempts: 11 | Last updated: Dec 11, 2025

Sample Question
From the roof of a 42 m building, the angle of depression to a truck is 19°. What is the horizontal distance to the truck (nearest meter)?

116 m

128 m

121.9 m

132 m

All Angle Of Depression Quizzes

Navigation Bearings Quizzes

Bearings in Trigonometry! Trivia Quiz

Challenge your understanding of bearings in trigonometry with this engaging quiz. Test your skills with practical questions on finding bearings between points.

Questions: 10 | Attempts: 2086 | Last updated: Mar 21, 2025

Sample Question
For the above diagram,find the bearing of A from OYou do not have to write the word "degrees"

070

Bearings with the Law of Sines

Ever wonder how ships and planes find their exact positions using angles and distances? In this quiz, you’ll apply the Law of Sines to solve real-world navigation problems in...

Questions: 20 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
A cargo ship departs from harbor on a bearing of 045°. After sailing 15 km, the captain changes course to 120° and travels 20 km more. What is the ship's straight-line distance from the harbor? (round to the nearest whole number)

14 km

18 km

22 km

26 km

Bearings and Ambiguous Cases (SSA Triangles)

Sometimes, bearings and distances create triangles that don’t have one clear answer — that’s the ambiguous case. In this quiz, you’ll learn when and why the...

Questions: 20 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
A ship sails 40 km on a bearing of 030°. From that point, the angle between its course and a line to a harbor is 45°. The distance to the harbor could have two possible values. Which law is best used?

Law of Cosines

Pythagorean Theorem

Law of Sines

Special Right Triangles

All Navigation Bearings Quizzes

Shadows And Towers Quizzes

Model Real Situations with Shadows & Trignometry Quiz

Apply the toolkit to richer contexts: mixed units, slant distances, and observations from different points. You’ll decide whether to find horizontal distance, vertical height...

Questions: 20 | Attempts: 17 | Last updated: Dec 11, 2025

Sample Question
A 12 m lamppost casts a 7 m shadow on level ground. What is the angle of elevation of the sun (nearest degree)?

29°

40°

59°

60°

Shadows and Towers: Use Trig to Find Heights & Shadow Lengths

Turn sun–shadow scenes into clean right-triangle setups. You’ll practice choosing the correct ratio (mostly tan = height/shadow), rearranging to solve for unknown heigh...

Questions: 20 | Attempts: 12 | Last updated: Dec 11, 2025

Sample Question
A 15 m flagpole casts a 20 m shadow. What is the sun’s angle of elevation (nearest degree)?

37°

41°

53°

62°

Use proportional reasoning and similar triangles to link different objects casting shadows at the same time. You’ll scale heights and shadows, translate “same sun angle...

Questions: 20 | Attempts: 12 | Last updated: Dec 11, 2025

Sample Question
A 1.6 m pole casts a 2.0 m shadow. At the same time, a tree’s shadow is 7.5 m. What is the tree’s height (nearest tenth of a meter)?

5.6 m

5.8 m

6.0 m

6.2 m

All Shadows And Towers Quizzes

Sound And Light Waves Quizzes

Waveforms: Amplitude, Period, Frequency, Phase & Midline

Learn how sound and light waves behave by identifying key features such as amplitude, frequency, period, and phase shift. You will interpret equations and graphs to find maximum an...

Questions: 20 | Attempts: 13 | Last updated: Dec 11, 2025

Sample Question
A sound wave is modeled by y(t) = 0.6 sin(4π t)… What is the frequency?

2 Hz

4 Hz

0.6 Hz

1 Hz

Sound Wave Function Quiz: Writing Basic Sound Wave Function

How can you write equations that model sound waves? In this quiz, you’ll explore how amplitude, frequency, and midline values shape sinusoidal wave functions. You’ll pr...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Select all true statements for s(t)=2·sin(2π·50·t)+3.

Amplitude is 2

Period is 1/50 seconds

Midline is y=3

Frequency is 100 Hz

Tuning Fork 440Hz Quiz: Tuning Fork 440Hz Period and Model

What does a 440 Hz tuning fork look like when modeled mathematically? In this quiz, you’ll explore how frequency, amplitude, and period interact to form a sinusoidal function...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
For a pure sine wave, the period equals the time between consecutive peaks.

True

False

All Sound And Light Waves Quizzes

Engineering Design Quizzes

Ramp and Incline Design

Ramps aren’t just about accessibility — they’re precision-engineered structures based on slope and angle. In this quiz, you’ll calculate incline angles...

Questions: 20 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
A wheelchair ramp must rise 0.75 m over a horizontal distance of 9 m. What is the angle of inclination?

5°

6°

7°

8°

Structural Supports and Forces

From ladders and cables to beams and braces, structures rely on angles and forces for strength and balance. In this quiz, you’ll use trigonometric ratios to calculate le...

Questions: 20 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
An engineer is designing a support beam that makes a 60° angle with the ground. If the vertical height must be 12 m, what is the beam’s length?

12 m

13.9 m

14 m

24 m

Bridge Cable Angles

Bridge cables carry enormous loads, and their strength depends on precise angles. In this quiz, you’ll apply trigonometric modeling to find cable lengths, vertical supports, ...

Questions: 20 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
A bridge cable forms a 65° angle with the roadway. If the vertical tower is 120 m tall, what is the length of the cable (nearest meter)?

132 m

133 m

134 m

135 m

All Engineering Design Quizzes

Astronomy And Orbits Quizzes

Understanding Trigonometric Orbit Models

Explore how planets, moons, and satellites move in predictable, repeating paths. In this quiz, you will identify the amplitude, period, and phase shift of orbital models, understan...

Questions: 20 | Attempts: 11 | Last updated: Dec 11, 2025

Sample Question
A planet’s x-position (in AU) is modeled by x(t) = 2 cos(π t), where t is in years and the y-position is y(t) = 2 sin(π t). What is the orbital period?

1/2 year

1 year

2 years

4 years

Parametric Circular Orbits Quiz: Parametric Equations of Circular Orbits

How can parametric equations describe circular motion? In this quiz, you’ll explore how 𝑥(𝑡) and 𝑦(𝑡) work together to trace perfect circular paths, revealing pos...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
For the parametric orbit x = 10 cos(2t), y = 10 sin(2t), what is the orbit’s radius?

10

2

5

1/20

Radial Distance Variation Quiz: Modeling Radial Distance Variations

How does radial distance change when an object moves along a curved path? In this quiz, you’ll explore functions that describe how the distance from a center point varies ove...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
For r(t) = 7000 + 50 cos(0.1 t), what is the average (central) orbit radius?

7000

50

0.1

4/20

All Astronomy And Orbits Quizzes

Top Trending Real World Applications Quizzes

Problem Solving Maths Quiz Questions

This 'Problem Solving Maths Quiz' assesses mathematical reasoning with real-life problems, covering basic arithmetic, algebra, and geometry. It tests skills in multiplication, division, equation solving, and understanding...

Questions: 10 | Attempts: 4350 | Last updated: May 10, 2025

Sample Question
What is 25 1/2 ÷1/2?

25

51

12 3/4

25 1/4

X Standard ( Chapter- Trigonometry )

This quiz focuses on basic trigonometric concepts, exploring relationships between sine, cosine, and tangent functions, and applying these to solve problems involving angles and triangles.

Questions: 15 | Attempts: 301 | Last updated: Sep 5, 2025

Sample Question
(sin30° + cos30°) – (sin 60° + cos60°)

-1

1

0

2

Trigonometric Functions Evaluation Quiz

Are you good at trigonometric evaluation? Take this trigonometric functions evaluation quiz to test your understanding and knowledge. The purpose of this test is to evaluate students' knowledge of trigonometric functions. If...

Questions: 10 | Attempts: 241 | Last updated: Oct 6, 2025

Sample Question
Street inclination problem: Someone wants to know the inclination angle of a street. He notices that the bricks in a fence are horizontal with respect to the street and that the horizontal distance from a point is 35 cm. From there, downward, the brick measures 6 cm of vertical distance toward the street. What is the inclination angle?

12° 13’12”

9°43´39.28”

80°16’20”

10°19´20"

None

Recent Real World Applications Quizzes

Advanced Trigonometric Concepts and Applications Quiz

Explore the complexities of trigonometric equations in this focused module. Dive into solving trigonometric equations, enhancing problem-solving skills, and applying mathematical theories. Ideal for students looking to deepen...

Questions: 30 | Attempts: 10 | Last updated: Aug 4, 2025

Sample Question
1 Radian = .

45 Degrees

360 Degrees

180/? Degrees

90 Degrees

Real World Applications Quizzes, Questions & Answers

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