SOLUTION: A tree standing vertically on the side of the hill makes an angle of 115º with the side of the hill. At a point 68ft. down the slope, the tree subtends an angle of 22º. Find the he
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Question 1109680: A tree standing vertically on the side of the hill makes an angle of 115º with the side of the hill. At a point 68ft. down the slope, the tree subtends an angle of 22º. Find the height of the tree?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A tree standing vertically on the side of the hill makes an angle of 115º with the side of the hill.
At a point 68ft. down the slope, the tree subtends an angle of 22º.
Find the height of the tree?
:
Draw this out, the tree top and bottom and a point 68' down the hill form a triangle tbp
Let t = the top of the tree, b = the bottom of the tree, p = point 68' down from the tree
angle t = 22 degrees
angle b = 115 degrees
therefore 180 - 22 - 115 = 43 degrees = angle p
bp = 68ft
let x = the height of the tree. Use the law of sines
=
find the sines
=
cross multiply
.3746x = 68 * .682
x =
x = 123.8 ft is the height of the tree
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