Question

When the angle of elevation of the sun is 61°​, a telephone pole that is tilted at an angle of 8° directly away from the sun casts a shadow 20 feet long. Determine the length of the pole to the nearest foot.

I'm stuck halfway through this problem, I know how to find all the angles and side lengths of the triangle made when there isn't the 8 degree tilt, but I don't know how to solve the triangle with the 8 degree tilt. What's the next step in solving the triangle?

Answers

I assume you found the vertical height of the pole.

length of pole/verticalheight=cos8
the angle at the base of the pole is
... 90º - 8º

the angle at the end of the shadow is the sun's angle

the 3rd angle is opposite the 20 ft shadow

use the law of sines to find the pole

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