Real World Applications Quizzes, Questions & Answers

Explore the practical side of knowledge with our Real World Applications quiz. Read more

Heights And Distances Quizzes

X006 Trigonometry - Find a Missing Side assesses the ability to calculate the length of a missing side in various geometric shapes using trigonometric principles. Each question req...

Questions: 31 | Attempts: 404 | Last updated: Jan 06, 2025

Sample Question
Find the length of the missing side, marked 'x', correct to one decimal place.

16.9

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

Trigonometry Unit Test version A

The 'Trigonometry Unit Test version A' evaluates essential skills in trigonometry, including calculating angles, triangle properties, and distances using elevation and depression. ...

Questions: 20 | Attempts: 142 | 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 Heights And Distances Quizzes

Angle Of Elevation Quizzes

Solving right angled triangles

This quiz titled 'Solving Right Angled Triangles' assesses learners on their ability to solve problems involving right triangles. It encompasses calculations of side lengths, angle...

Questions: 5 | Attempts: 907 | Last updated: Mar 21, 2025

Sample Question
In a right angle triangle ABC, AB = 6 cm, AC = 10 cm and angle ABC = 90 degrees. The length of side BC is

11.7 cm

16 cm

8 cm

10 cm

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: 660 | 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 Basics: Understanding Key Terms from Chapter 5

Enhance your understanding of Trigonometry with this focused vocabulary overview from Chapter 5. This set is designed to build foundational knowledge, crucial for mastering complex...

Questions: 7 | Attempts: 11 | Last updated: Aug 04, 2025

Sample Question
What is a vertex?

The shared endpoint of two rays that form an angle.

A type of geometric shape.

The highest point on a curve or surface.

The midpoint of a line segment.

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: 10 | Last updated: Nov 10, 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

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: 10 | Last updated: Nov 10, 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

122 m

132 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: 10 | Last updated: Nov 10, 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

126 m

112 m

224 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: 2084 | 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: 10 | Last updated: Oct 13, 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 with the Law of Cosines

When two paths or bearings form an angle, how can you find the exact distance between travelers? In this quiz, you’ll use the Law of Cosines to calculate separation dist...

Questions: 20 | Attempts: 10 | Last updated: Oct 23, 2025

Sample Question
Two planes depart an airport: Plane A flies 260 km on a bearing of 025°, Plane B flies 210 km on a bearing of 080°. How far apart are the planes (nearest km)?

222 km

217 km

229 km

235 km

All Navigation Bearings Quizzes

Shadows And Towers Quizzes

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: 10 | Last updated: Nov 10, 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: 10 | Last updated: Nov 10, 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

Real Applications of Shadows, Towers, and Sun Angles

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: 10 | Last updated: Nov 10, 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°

All Shadows And Towers Quizzes

Sound And Light Waves Quizzes

Read 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: 10 | Last updated: Nov 10, 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

Build Wave Models: From Specs to Sine/Cosine (and Back)

Practice writing and adjusting equations for sound and light waves. You will work with amplitude, frequency, and phase to model waves that match given conditions. This quiz focuses...

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

Sample Question
S(t) = 0.4 sin(8π t − π/3). Frequency?

2

4

8

16

Apply Trig Waves to Sound & Light in Context

Explore how trigonometric wave equations apply to real-world examples like musical tones, LED lights, and oscillating signals. You will analyze given equations, identify features s...

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

Sample Question
P(t) = 0.8 sin(440·2π t). Frequency?

0.8

220

440

880

All Sound And Light Waves Quizzes

Engineering Design 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 t...

Questions: 30 | Attempts: 10 | Last updated: Aug 04, 2025

Sample Question
1 Radian = .

45 Degrees

360 Degrees

180/? Degrees

90 Degrees

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: Oct 14, 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: Oct 13, 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: 10 | Last updated: Nov 10, 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

Creating and Adjusting Orbit Models

Use trigonometric equations to build and adjust realistic orbital models. You will create formulas that describe motion around planets or stars, determine how to change amplitude, ...

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

Sample Question
A satellite orbits Earth with altitude modeled by h(t) = 420 + 35 cos(2πt/90), where h is in km and t is in minutes. What is the maximum altitude?

420 km

385 km

455 km

35 km

Applying Trigonometric Models to Real Orbits

Apply trigonometric motion models to analyze real data from satellites, moons, and planets. You will interpret graphs, calculate maximum and minimum distances, and relate time and ...

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

Sample Question
A satellite’s distance from Earth’s center is modeled by d(t) = 6800 + 400 cos(0.25 t) km, where t is in hours. What is the maximum distance?

6400 km

6800 km

7200 km

7600 km

All Astronomy And Orbits Quizzes

Real World Applications Quizzes, Questions & Answers

Popular Real World Applications Topics

Heights And Distances Quizzes

Angle Of Elevation Quizzes

Angle Of Depression Quizzes

Navigation Bearings Quizzes

Shadows And Towers Quizzes

Sound And Light Waves Quizzes

Engineering Design Quizzes

Astronomy And Orbits Quizzes

Top Trending Real World Applications Quizzes