SOLUTION: a tree standing vertically on the side of the hill makes an angle of 98 degrees with the side of the hill. At a point of 32 ft. down the slope, the trees subtends an angle of 35 de
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Question 1146638: a tree standing vertically on the side of the hill makes an angle of 98 degrees with the side of the hill. At a point of 32 ft. down the slope, the trees subtends an angle of 35 degrees. 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 98 degrees with the side of the hill.
At a point of 32 ft. down the slope, the trees subtends an angle of 35 degrees.
find the height of the tree.
:
Let h = height of the tree
:
We can find the 3rd angle which is opposite 32 ft: 180 - 98 - 35 = 47 degrees
Use the law of sines
=
cross multiply
sin(47)*h = sin(35)*32
h =
h = 25.1 ft is the height of the tree
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