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?

Answer 1

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

Answer 2

27.37

Answer 3

20

Answer 4

its actually 27