Question

Lenny is planning to cut down a pine tree. He has parked his truck 90 feet away from the base of the tree and wants to make sure that the tree will not hit his truck when it falls. The angle of elevation from the base of the truck to the top of the tree is 50°. How tall is the tree to the nearest foot? Should Lenny move his truck?
A)
58 feet; no
B)
69 feet; no
C)
75 feet; no
D)
107 feet; yes

Answer 1

Well, if the elevation is 45 degrees, the height of the tree and the distance to the truck are the same, The elevation is more than that, so the distance to the truck is less than the height of the tree. The only answer that reflects that is D.

Answer 2

Use the tangent function.