Arianna is standing on the top of a 60-foot building and spots her friend, Rita, across
the street. Arianna's eye height is 5 feet. If Rita is 37 feet away from the building,
what is the angle of depression from Arianna to Rita? Round your answer to the
nearest degree

Arianna is standing on the top of a 60foot building and spots her friend Rita across the street Ariannas eye height is 5 feet If Rita is 37 feet away from the b class=

Respuesta :

The answer is 45.7 i found it with a calculator

The angle of depression is 61 degrees.

What is the Angle of Depression?

The angle between the horizontal line and the line of sight is called the Angle of  Depression.

The height of the building is 60 foot

The distance of Rita from the building is 37 feet

The total height of the building and Arianna is 65 feet

A right-angled triangle is formed and so trigonometric ratios can be used.

tan x = Perpendicular/ Base

Let the angle of depression is x.

The angle tan (90- x) = 37/65

(90-x) = 29.49

x = 60.35 degree

x ≈ 61 degree

Therefore, the angle of depression is 61 degrees.

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