A tree grows at an angle of 2° 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 = 33° (see figure). ha°d m(a) Write an equation that you can use to find the height h of the tree.41sin(b) Find the height h of the tree. (Round your answer to one decimal place.)h =m

Answered: Image /qna-images/answer/f87ab819-83cc-4ad1-ad7b-b0522be6e754.jpg

Answered: h a° d m (a) Write an equation that you…

h a° d m (a) Write an equation that you can use to find the height h of the tree. 41 sin (b) Find the height h of the tree. (Round your answer to one decimal place.) h = m

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 24E

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Concept explainers

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.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

A tree grows at an angle of 2° 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 = 33° (see figure).

h
a°
d m
(a) Write an equation that you can use to find the height h of the tree.
41
sin
(b) Find the height h of the tree. (Round your answer to one decimal place.)
h =
m

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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