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 (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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