The angles of elevation to an airplane from two polnts A and B on level ground are 56° and 72°, respectively. The points A and B are 2.2 miles apart, and the airplane is vertical plane. (a) Draw a diagram that represents the problem. Show the known quantities on the diagram.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 64E
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Find the distance between the plane and point b. Find the attitude, find the distance the plane must travel before it is directly above point A.
The angles of elevation to an airplane from two points
and B on level ground are 56° and 72°, respectively. The points A and B are 2.2 miles apart, and the airplane is east of both points
vertical plane.
(a) Draw a diagram that represents the problem. Show the known quantities on the diagram.
72
56
56°
72°
A
2.2
A
2.2
56
72
56
2.2
2.2
MacBook Air
Transcribed Image Text:The angles of elevation to an airplane from two points and B on level ground are 56° and 72°, respectively. The points A and B are 2.2 miles apart, and the airplane is east of both points vertical plane. (a) Draw a diagram that represents the problem. Show the known quantities on the diagram. 72 56 56° 72° A 2.2 A 2.2 56 72 56 2.2 2.2 MacBook Air
2.2
56
56°
729
2.2
B
2.2
B
(b) Find the distance between the plane and point B. (Round your answer to two decimal places.)
6.632
X mi
(c) Find the altitude of the plane. (Round your answer to two decimal places.)
6.31
X mi
(d) Find the distance the plane must travel before it is directly above point A. (Round your answer to two decimal places.)
7.61
X mi
leed Help?
Read It
Watch It
O Show My Work (Optional) ?
MacBook Air
吕口
F3
000
O00
F4
F1
F2
F5
F6
F7
F8
Transcribed Image Text:2.2 56 56° 729 2.2 B 2.2 B (b) Find the distance between the plane and point B. (Round your answer to two decimal places.) 6.632 X mi (c) Find the altitude of the plane. (Round your answer to two decimal places.) 6.31 X mi (d) Find the distance the plane must travel before it is directly above point A. (Round your answer to two decimal places.) 7.61 X mi leed Help? Read It Watch It O Show My Work (Optional) ? MacBook Air 吕口 F3 000 O00 F4 F1 F2 F5 F6 F7 F8
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