Answered: A tree grows at an angle of 2° from the…

A tree grows at an angle of 2° from the vertical due to prevailing winds. At a point d = 37 meters from the base of the tree, the angle of elevation to the top of the tree is a = 33° (see figure).

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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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

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Question

A tree grows at an angle of 2° from the vertical due to prevailing winds. At a point d = 37 meters from the base of the tree, the angle of elevation to the top of the tree is a = 33° (see figure).

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A tree grows at an angle of 2° from the vertical due to prevailing winds. At a point d = 37 meters from the base of the tree, the angle of elevation to the top of
the tree is a =
33° (see figure).
Scree
h
b°
d m
(a) Write an equation that you can use to find the height h of the tree.
37
sin
sin
(b) Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
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Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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