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) Write an equation that you can use to find the height h of the tree

Trigonometry (MindTap Course List)
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Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.1: Law Of Sines
Problem 45E: Height A tree grows at an angle of 4 from the vertical due to prevailing winds. At a point 40 meters...
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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) Write an equation that you can use to find the height h of the tree.
h
sin
 
   °
 
 = 
41
sin
 
   °
 


(b) Find the height h of the tree. (Round your answer to one decimal place.)
h =   m
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).
b°
d m
(a) Write an equation that you can use to find the height h of the tree.
41
sin
sin
|× •)
(b) Find the height h of the tree. (Round your answer to one decimal place.)
h =
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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 figure). b° d m (a) Write an equation that you can use to find the height h of the tree. 41 sin sin |× •) (b) Find the height h of the tree. (Round your answer to one decimal place.) h = Need Help? Read It Watch It
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