9 A person standing at a point some distance away from the base of an antenna tower measures the angle of elevation to the top of the antenna as 47°. A second person standing 33.0 feet farther from the antenna than the first person measures the angle of elevation to the top of the antenna to be 42°. How far is the first person from the base of the antenna tower?
9 A person standing at a point some distance away from the base of an antenna tower measures the angle of elevation to the top of the antenna as 47°. A second person standing 33.0 feet farther from the antenna than the first person measures the angle of elevation to the top of the antenna to be 42°. How far is the first person from the base of the antenna tower?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find dimensions using angles of elevations. Draw a diagram to represent the right triangle described in each situation. Write algebraic steps.
Transcribed Image Text:Precalculus: Find Dimensions Using Angles of Elevation
8
long
elevation to the
to the
feet
the
9
A person standing at a point some distance away from
the base of an antenna tower measures the angle of
elevation to the top of the antenna as 47°. A second
person standing 33.0 feet farther from the antenna than
the first person measures the angle of elevation to the
top of the antenna to be 42°. How far is the first person
from the base of the antenna tower?
10
Two people decide to find the height of an ancient tree.
One person stands a certain distance from the base of
the tree and measures the angle of elevation from her
position to the top of the tree to be 65°. If the second
person stands 25 feet farther away from the first person
and the tree and measures the angle of elevation to the
top of the tree to be 44°, how tall is the ancient tree?
11
Two students decide to estimate the height
pole
12
To estimate the height of an electrical pole, one worker
positions herself due south of the pole, while her
assistant positions himself due east of the pole. If the
two workers are the same distance from the tree and
stand 35 feet from one another, what is the height of the
electrical pole if the angle of elevation from the ground at
each person's position to the top of the pole is 48°?
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