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at certain time of day , a 30 meter high building cast a shadow that is 31 meters long . what is the angle of the elevation of the sun? round to the nearest degree.

A. 46 degree
B. 16 degree
C.44 degree
D.75 degree

Respuesta :

calculista

Answer:

Option C. 44 degree

Step-by-step explanation:

Let

A-----> the angle of the elevation of the sun

we know that

The tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

In this problem

The opposite side is 30 meters

The adjacent side is 31 meters

[tex]tan(A)=\frac{30}{31}[/tex]

[tex]A=arctan(\frac{30}{31})=44\°[/tex]

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