I'm having trouble figuring out this problem. 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 ΔA55°2.872%B55°72°A55%72°55°2.8B72°A2.8BA2.8B A2.8B55%7272°55°A2.8(b) Find the distance between the plane and point B. (Round your answer to two decimal places.)6.87mi(c) Find the altitude of the plane. (Round your answer to two decimal places.)7.46miBO(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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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

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

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 74E

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I'm having trouble figuring out this problem.

(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

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

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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