At the same instant, two observers, 3 miles apart, are looking at the same hot air balloon, See the figure to the right. The angle of elevation (from the ground) of the observer closest to the balloon is 78°. The angle of elevation (from the ground) of the person furthest from the balloon is 43°. Find the altitude of the balloon (to the nearest foot) at the instant the two people observe the balloon. 78° 430 3 miles

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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At the same instant, two observers, 3 miles apart, are looking
at the same hot air balloon, See the figure to the right. The
angle of elevation (from the ground) of the observer closest to
the balloon is 78°. The angle of elevation (from the ground) of
the person furthest from the balloon is 43°. Find the altitude of
the balloon (to the nearest foot) at the instant the two people
observe the balloon.
78°
430
3 miles
.....
The altitude of the balloon is
feet.
(Do not round until the final answer. Then round to the nearest foot as needed.)
Transcribed Image Text:At the same instant, two observers, 3 miles apart, are looking at the same hot air balloon, See the figure to the right. The angle of elevation (from the ground) of the observer closest to the balloon is 78°. The angle of elevation (from the ground) of the person furthest from the balloon is 43°. Find the altitude of the balloon (to the nearest foot) at the instant the two people observe the balloon. 78° 430 3 miles ..... The altitude of the balloon is feet. (Do not round until the final answer. Then round to the nearest foot as needed.)
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