Finding Height Differences with Angles of Depression

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Thames
T
Thames
Community Contributor
Quizzes Created: 7387 | Total Attempts: 9,527,684
| Questions: 20 | Updated: Nov 11, 2025
Please wait...
Question 1 / 20
0 %
0/100
Score 0/100
1) 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.
Submit
Please wait...
About This Quiz
Finding Height Differences With Angles Of Depression - Quiz

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 below an object really is. You’ll use tangent ratios to link height, distance, and angle in practical problems — from lighthouses spotting ships... see moreto towers overlooking cities. Step by step, you’ll gain the skills to solve real-world right triangle challenges with confidence!
see less

2)
You may optionally provide this to label your report, leaderboard, or certificate.
2) A person in a 100 m tall tower looks down at a car. The angle of depression is 30°. Find the approximate horizontal distance.
Submit
3) From a cliff 80 m high, the angle of depression to a ship is 25°. Find the distance to the ship rounded to the nearest meter.
Submit
4) A plane is flying at 1200 m. The angle of depression to a car is 10°. Find the horizontal distance.
Submit
5) A person at the top of a 40 m building looks down at a bus. The angle of depression is 15°. Find the approximate distance to the bus.
Submit
6) A lighthouse is 60 m tall. The angle of depression to a ship is 8°. Find the horizontal distance.
Submit
7) From a 75 m tall building, the angle of depression to a car is 20°. Find the horizontal distance.
Submit
8) A person stands on a 30 m tower. The angle of depression to a boat is 12°. Find the approximate horizontal distance.
Submit
9) From the top of a 200 m cliff, the angle of depression to a ship is 25°. Find the horizontal distance.
Submit
10) A 25 m lighthouse has an angle of depression of 10° to a boat. Find the approximate horizontal distance.
Submit
11) A person looks down from a 90 m tower. The angle of depression is 18°. Find the distance to the object.
Submit
12) A 15 m high balcony overlooks a car with an angle of depression of 20°. Find approximate the horizontal distance.
Submit
13) From the top of a 300 m cliff, the angle of depression to a ship is 30°. Find the approximate horizontal distance.
Submit
14) From a 12 m tower, the angle of depression to a car is 10°. Find the approximate horizontal distance.
Submit
15) A 45 m lighthouse has an angle of depression of 15° to a ship. Find the distance.
Submit
16) From a 20 m tower, the angle of depression is 25°. Find the approximate distance to the car.
Submit
17) A person stands on a 100 m cliff. The angle of depression to a ship is 12°. Find the approximate distance.
Submit
18) From a 150 m tall tower, the angle of depression to a car is 20°. Find the approximate horizontal distance.
Submit
19) A lighthouse 30 m tall has an angle of depression to a boat of 5°. Find the distance.
Submit
20) From a 200 m tower, the angle of depression to a ship is 35°. Find the approximate distance.
Submit
×
Saved
Thank you for your feedback!
20)
Your input helps us improve, and you’ll get your detailed results next.
View My Results
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
From the top of a 50 m lighthouse, the angle of depression to a boat...
A person in a 100 m tall tower looks down at a car. The angle of...
From a cliff 80 m high, the angle of depression to a ship is 25°....
A plane is flying at 1200 m. The angle of depression to a car is 10°....
A person at the top of a 40 m building looks down at a bus. The angle...
A lighthouse is 60 m tall. The angle of depression to a ship is 8°....
From a 75 m tall building, the angle of depression to a car is 20°....
A person stands on a 30 m tower. The angle of depression to a boat is...
From the top of a 200 m cliff, the angle of depression to a ship is...
A 25 m lighthouse has an angle of depression of 10° to a boat. Find...
A person looks down from a 90 m tower. The angle of depression is...
A 15 m high balcony overlooks a car with an angle of depression of...
From the top of a 300 m cliff, the angle of depression to a ship is...
From a 12 m tower, the angle of depression to a car is 10°. Find the...
A 45 m lighthouse has an angle of depression of 15° to a ship. Find...
From a 20 m tower, the angle of depression is 25°. Find the...
A person stands on a 100 m cliff. The angle of depression to a ship is...
From a 150 m tall tower, the angle of depression to a car is 20°....
A lighthouse 30 m tall has an angle of depression to a boat of 5°....
From a 200 m tower, the angle of depression to a ship is 35°. Find...
Alert!

Advertisement