Finding Height Differences with Angles of Depression

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Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 24 | Questions: 20 | Updated: Jan 21, 2026
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1) From a 12 m tower, the angle of depression to a car is 10°. Find the approximate horizontal distance.

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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

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2) From the top of a 300 m cliff, the angle of depression to a ship is 30°. Find the approximate horizontal distance.

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3) A lighthouse 30 m tall has an angle of depression to a boat of 5°. Find the distance.

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4) A person in a 100 m tall tower looks down at a car. The angle of depression is 30°. Find the approximate horizontal distance.

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5) From a 20 m tower, the angle of depression is 25°. Find the approximate distance to the car.

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6) A 25 m lighthouse has an angle of depression of 10° to a boat. Find the approximate horizontal distance.

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7) From the top of a 200 m cliff, the angle of depression to a ship is 25°. Find the horizontal distance.

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8) 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.

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9) 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.

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10) A person stands on a 100 m cliff. The angle of depression to a ship is 12°. Find the approximate distance.

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11) A lighthouse is 60 m tall. The angle of depression to a ship is 8°. Find the horizontal distance.

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12) A 15 m high balcony overlooks a car with an angle of depression of 20°. Find approximate the horizontal distance.

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13) A person stands on a 30 m tower. The angle of depression to a boat is 12°. Find the approximate horizontal distance.

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14) A 45 m lighthouse has an angle of depression of 15° to a ship. Find the distance.

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15) From a 75 m tall building, the angle of depression to a car is 20°. Find the horizontal distance.

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16) A plane is flying at 1200 m. The angle of depression to a car is 10°. Find the horizontal distance.

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17) From a 150 m tall tower, the angle of depression to a car is 20°. Find the approximate horizontal distance.

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18) From a 200 m tower, the angle of depression to a ship is 35°. Find the approximate distance.

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19) A person looks down from a 90 m tower. The angle of depression is 18°. Find the distance to the object.

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20) 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.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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From a 12 m tower, the angle of depression to a car is 10°. Find the...
From the top of a 300 m cliff, the angle of depression to a ship is...
A lighthouse 30 m tall has an angle of depression to a boat of 5°....
A person in a 100 m tall tower looks down at a car. The angle of...
From a 20 m tower, the angle of depression is 25°. Find the...
A 25 m lighthouse has an angle of depression of 10° to a boat. Find...
From the top of a 200 m cliff, the angle of depression to a ship is...
A person at the top of a 40 m building looks down at a bus. The angle...
From the top of a 50 m lighthouse, the angle of depression to a boat...
A person stands on a 100 m cliff. The angle of depression to a ship is...
A lighthouse is 60 m tall. The angle of depression to a ship is 8°....
A 15 m high balcony overlooks a car with an angle of depression of...
A person stands on a 30 m tower. The angle of depression to a boat is...
A 45 m lighthouse has an angle of depression of 15° to a ship. Find...
From a 75 m tall building, the angle of depression to a car is 20°....
A plane is flying at 1200 m. The angle of depression to a car is 10°....
From a 150 m tall tower, the angle of depression to a car is 20°....
From a 200 m tower, the angle of depression to a ship is 35°. Find...
A person looks down from a 90 m tower. The angle of depression is...
From a cliff 80 m high, the angle of depression to a ship is 25°....
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