A tree grows at an angle of 4° 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 = 30° (see figure). d m (a) Write an equation that you can use to find the height h of the tree. h 41 %3D sin sin (b) Find the height h of the tree. (Round your answer to one decimal place.) h =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
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 4° 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 = 30° (see figure).
b°
d m
(a) Write an equation that you can use to find the height h of the tree.
h
41
sin
sin
(b) Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
Transcribed Image Text:A tree grows at an angle of 4° 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 = 30° (see figure). b° d m (a) Write an equation that you can use to find the height h of the tree. h 41 sin sin (b) Find the height h of the tree. (Round your answer to one decimal place.) h = m
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