Question

1. A statue creates a shadow that is 30 ft long. The angle of elevation of the sun is 50°.

(a) Draw a diagram that represents this situation.

(b) How tall is the statue? Round your answer to the nearest tenth of a foot. Show your work.

Answer 1

check the picture below

Answer 2

The diagram is left to you...

tanα=h/x

h=xtanα, we are told that x=30ft and α=50° so

h=30tan50 ft

h≈35.8 ft (to nearest tenth of a foot)