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From the top of a 16 m tall building, the angle of depression to a car on the road is 35°. To the nearest metre, how far is the car from the base of the building?

Respuesta :

The distance of the car to the base of the building is 23 metres.

How to find the distance of the car from the building using angle of depression?

The situation will form a right angle triangle.

Therefore, the distance of the car to the base of the building is the adjacent side of the right angle triangle formed.

Therefore,

tan 35 = opposite / adjacent

tan 35 = 16 / x

x tan 35 = 16

x = 16 / tan 35

Therefore,

x = 16 / 0.70020753821

x = 22.8506141103

x = 23 meters

Therefore, the distance of the car to the base of the building is 23 metres.

learn more on angle of depression here: https://brainly.com/question/17960229

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