Angles of Depression: Distance & Height (Trignometric Quiz)

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

458 m

465 m

470 m

472 m

2) 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

3) 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.

144 m

149 m

153 m

158 m

4) From a 12 m tower, the angle of depression to a car is 10°. Find the approximate horizontal distance.

65 m

68 m

71 m

73 m

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

517 m

519 m

522 m

523 m

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

342 m

343 m

344 m

345 m

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

170 m

173 m

175 m

178 m

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

40 m

43 m

45 m

48 m

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

167 m

168 m

169 m

170 m

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

140 m

142 m

147 m

152 m

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

429 m

435 m

438 m

444 m

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

140 m

141 m

142 m

143 m

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

200 m

201 m

206 m

209 m

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

6700 m

6790 m

6806 m

6820 m

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

41 m

43 m

48 m

51 m

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

427 m

429 m

432 m

438 m

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

412 m

423 m

441 m

455 m

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

280 m

286 m

292 m

298 m

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

274 m

275 m

276 m

277 m

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.

170 m

172 m

173 m

175 m

Finding Height Differences with Angles of Depression

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

2)

What first name or nickname would you like us to use?

2) 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.

3) 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.

4) From a 12 m tower, the angle of depression to a car is 10°. Find the approximate horizontal distance.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.