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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?

Respuesta :

IGotChillsTheyreX
Knowing SOH CAH TOA, we can use Tangent (TOA) to figure this out.
The Tan(50) = opposite (Tree height) / Adjacent (90 feet)

Tan50= H (H is Tree Height)/90
H=90Tan(50)
H=about 107 feet.

Because the tree is 107 feet tall and the truck is only 90 feet away, Lenny should move his truck.

Hope this helps!