Question

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

Answer 1

Option C. 44 degree

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

`tan(A)=(30)/(31)`

`A=arctan((30)/(31))=44\°`