45. Height A tree grows at an angle of 4° from the vertical due to prevailing winds. At a point 40 meters from the base of the tree, the angle of elevation to the top of the tree is 30° (see figure). (a) Write an equation that you can use to find the height h of the tree. (b) Find the height of the tree. h 94° 30° 40 m

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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Height A tree grows at an angle of 4° from the
vertical due to prevailing winds. At a point 40 meters
from the base of the tree, the angle of elevation to the
top of the tree is 30° (see figure).
(a) Write an equation that you can use to find the
height h of the tree.
(b) Find the height of the tree.

45. Height A tree grows at an angle of 4° from the
vertical due to prevailing winds. At a point 40 meters
from the base of the tree, the angle of elevation to the
top of the tree is 30° (see figure).
(a) Write an equation that you can use to find the
height h of the tree.
(b) Find the height of the tree.
h
94°
30°
40 m
Transcribed Image Text:45. Height A tree grows at an angle of 4° from the vertical due to prevailing winds. At a point 40 meters from the base of the tree, the angle of elevation to the top of the tree is 30° (see figure). (a) Write an equation that you can use to find the height h of the tree. (b) Find the height of the tree. h 94° 30° 40 m
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