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A radio tower 200 ft. high casts a shadow 75 ft. long. What is the angle of elevation of the sun?

Sagot :

isaiassoto739

Angle of elevation of the sun: 69 degrees

Step-by-step explanation:

tan(x) = 200/75

x = tan^-1 (200/75)

x = 69 degrees

The angle of elevation of the sun is .

What is tangent of an angle?

The tangent of an angle is the ratio of height to base of the angle.

If we take the angle as Ф, then tan Ф = height/base.

Given, length of the tower is 200 ft. and the length of the shadow is 75 ft.

Let, the angle of elevation of the sun = Ф

Therefore, tan Ф = height/base  = 75/200 = 0.375

Hence, Ф = [tex]tan{-1}[/tex](0.375) =

The angle of elevation of the sun is .

Learn more about the tangent of the angle here: https://brainly.com/question/15925556

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