Question

Gilligan has a small clinometers that the Professor has built for him. He looks up at some coconuts in a tree and finds that the angle ofelevation is 25 degrees. He know he is 20 feet away from the tree - and that the distance from the ground to high eye height is 5.5 feet.How far will Gilligan have to climb up the tree to reach the coconuts from the ground (Height + Gilligan)? Round your answer to the nearest 1decimal._____ft

Answer 1

Angle of elevation = 25 degrees

Distance between Gilgan and the tree = 20 feet

tan 25 = (x + 5)/20

x + 5 = 20 tan 25

x + 5 = 9.33

x = 9.33-5

x = 4.33 m

Gilgan will have to climb a height of 4.33 feet