Pre Calc
posted by Anonymous on .
Dr. Black is standing 15 feet away from the street lamp. The lamp is making his shadow 8 feet long. The angle of elevation from the tip of the shadow to the tip of the streetlamp is 50 degrees. How tall is the streetlamp?

If I am understanding this picture,
a right triangle is formed with angle A = 50 degrees and side b = 23 (15 + 8).
You need the length of a, which is the streetlamp.
tan A = opp/adj = a/b = a/23
tan 50 = a/23
1.19 = a/23
Solve for a, for your answer 
27.37

20