A man is standing 85 meters from the base of a tower. If the tower is 200 meters tall,find the angle of elevation from the ground where the man is standing to the top of the tower

Respuesta :

The angle of elevation from the ground where the man is standing to the top of the tower is 67Β°.

According to the question,

We have the following information:

A man is standing 85 meters from the base of a tower. And the tower is 200 meters tall.

Now, we will use the trigonometric function of tan to find the value of angle of elevation.

Let's take the angle of elevation to be xΒ°.

Tan x = Height of the tower/distance of the man from the base of the tower

Tan x = 200/85

Tan x = 2.35

Tan 67 = 2.35

Hence, the angle of elevation from the ground where the man is standing to the top of the tower is 67Β°.

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