The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.

Question

15-04-2021
Mathematics

contestada

The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.

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fichoh fichoh · Answer 1 · 2021-04-16T02:15:34+02:00

Complete question :

The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.

Answer:

4.04 meters

Step-by-step explanation:

To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :

Using trigonometry :

Tan θ = Opposite / Adjacent

Tan 22° = x / 10

0.4040262 = x / 10

0.4040262 * 10 = x

x = 4.04

Hence, distance between base of tower and point P on the ground is 4.04 meters