A tree grows at an angle of 5° from the vertical due to prevailing winds. At a point d = 41 meters from the base of the tree, the angle of elevation to the top of the tree is a = 32° (see figur b° d m (a) Write an equation that you can use to find the height h of the tree. 41 sin ) sin( %3D (b) Find the height h of the tree. (Round your answer to one decimal place.) h. %3D

Mathematics For Machine Technology
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Chapter58: Achievement Review—section Five
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A tree grows at an angle of 5° from the vertical due to prevailing winds. At a point d = 41 meters from the base of the tree, the angle of elevation to the top of the tree is a = 32° (see figure).

A tree grows at an angle of 5° from the vertical due to prevailing winds. At a point d = 41 meters from the base of the tree, the angle of elevation to the top of the tree is a = 32° (see figur
b°
d m
(a) Write an equation that you can use to find the height h of the tree.
41
sin
) sin(
%3D
(b) Find the height h of the tree. (Round your answer to one decimal place.)
h.
%3D
Transcribed Image Text:A tree grows at an angle of 5° from the vertical due to prevailing winds. At a point d = 41 meters from the base of the tree, the angle of elevation to the top of the tree is a = 32° (see figur b° d m (a) Write an equation that you can use to find the height h of the tree. 41 sin ) sin( %3D (b) Find the height h of the tree. (Round your answer to one decimal place.) h. %3D
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