SOLUTION: a lumberjack standing at 50 ft from a tree measures a 3 degree angle of depression to the base of the tree and a 23 degree angle of elevation to the top of the tree. determine the

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Question 1112226: a lumberjack standing at 50 ft from a tree measures a 3 degree angle of depression to the base of the tree and a 23 degree angle of elevation to the top of the tree. determine the height of the tree (to the nearest tenth of a foot).
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = height of tree
:
tan(23) = x/50
:
x = tan(23) * 50 = 21.2237
:
tan(3) = y/50
:
y = tan(3) * 50 = 2.6204
:
x + y = 2.6204 +21.2237 = 23.8441 approximately 23.8 feet
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