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Full Sal, LLC Sail C 32 Trigonometry-Content-Classes FSO + 3.2 TRIGONOMETRY .. 8

ID: 2921044 • Letter: F

Question

Full Sal, LLC Sail C 32 Trigonometry-Content-Classes FSO + 3.2 TRIGONOMETRY .. 8. Trigonometry Choose One 9 points 15ft 70° Distance An arborist wants to prune an oak tree that has grown too tall. The arborist takes a 15-foot ladder and places it on a horizontal surface on the ground so it leans against the tallest part of the tree trunk. If the bottom part of the ladder makes an angle of 70 degrees with respect to the ground, what is the distance between the ladder and the tree trunk? If necessary, round your answer to the nearest tenth of a foot.

Explanation / Answer

let the distance between the base of the ladder and the tree trunk be d

cos70o= d/15

=>d=15cos70o

=>d=15*0.34202014332566873304409961468226

=>d=5.1303021498850309956614942202339

so the distance between the ladder and the tree trunk is 5.1 feet

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