A statue creates a shadow that is 30 ft long. The angle of elevation of the sun is 50°.
Draw a diagram that represents this situation.
How tall is the statue? Round your answer to the nearest tenth of a foot. Show your work.
The shadow represents the adjacent leg to the 50 degree angle of a right triangle....
Opposite leg is the HEIGHT of the statue
Tangent 50 = opposite/30
30 tangent 50 = height = tan(50)*30 = 35.8 ft (rounded)
Can't draw the diagram.....but
tan 50° = height of statue / shadow length
tan 50° = height of statue / 30 multiply both sides by 30
30 * tan (50°) = height of statue = 35.8 ft