The angles of elevation to an airplane from two points A and B on level ground are 55° and 72°, respectively. The points A and B are 2.8 miles apart, and the airplane is east of both points in the same vertical plane. (a) Draw a diagram that represents the problem. Show the known quantities on the diagram. A A 55° 2.8 72 B 55° A 2.8 B 72 55 72 55' ΛΑ 2.8 2.8 B

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter8: Applications Of Trigonometry
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The angles of elevation to an airplane from two points A and B on level ground are 55° and 72°, respectively. The points A and B are 2.8 miles apart, and the airplane is east of both points in the same vertical plane.
(a) Draw a diagram that represents the problem. Show the known quantities on the diagram.
(b) Find the distance between the plane and point B. (Round your answer to two decimal places.)
(c) Find the altitude of the plane. (Round your answer to two decimal places.)
(d) Find the distance the plane must travel before it is directly above point A. (Round your answer to two decimal places.

 
The angles of elevation to an airplane from two points A and B on level ground are 55° and 72°, respectively. The points A and B are 2.8 miles apart, and the airplane is east of both points in the same vertical plane.
(a) Draw a diagram that represents the problem. Show the known quantities on the diagram.
Δ Δ
A
55°
2.8
72%
B
55°
72°
A
55%
72°
55°
2.8
B
72°
A
2.8
B
A
2.8
B
Transcribed Image Text:The angles of elevation to an airplane from two points A and B on level ground are 55° and 72°, respectively. The points A and B are 2.8 miles apart, and the airplane is east of both points in the same vertical plane. (a) Draw a diagram that represents the problem. Show the known quantities on the diagram. Δ Δ A 55° 2.8 72% B 55° 72° A 55% 72° 55° 2.8 B 72° A 2.8 B A 2.8 B
A
2.8
B
55%
72
72°
55°
A
2.8
(b) Find the distance between the plane and point B. (Round your answer to two decimal places.)
6.87
mi
(c) Find the altitude of the plane. (Round your answer to two decimal places.)
7.46
mi
BO
(d) Find the distance the plane must travel before it is directly above point A. (Round your answer to two decimal places.)
mi
Transcribed Image Text:A 2.8 B 55% 72 72° 55° A 2.8 (b) Find the distance between the plane and point B. (Round your answer to two decimal places.) 6.87 mi (c) Find the altitude of the plane. (Round your answer to two decimal places.) 7.46 mi BO (d) Find the distance the plane must travel before it is directly above point A. (Round your answer to two decimal places.) mi
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