Concept explainers
Tracking a Satellite The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking stations A and B, which are 50 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0° and 84.2°, respectively.
- (a) How far is the satellite from station A?
- (b) How high is the satellite above the ground?
(a)
To Find: The distance of satellite from station
Answer to Problem 33E
The distance of satellite from the tracking station
Explanation of Solution
Given:
The below figure represent the situation in form of triangle
Figure (1)
The angle of elevation of station
Formula used:
Law of Sines,
Calculation:
From figure (a), calculate the measure of angle opposite to the side
The
Calculate the value of
Apply Angle Sum Property in triangle
The value of
Apply Law of Sines in triangle
Evaluate the length of the side
Substitute
Thus, the distance of satellite from the tracking station
(b)
To Find: The distance of satellite from the ground.
Answer to Problem 33E
The distance of satellite from the ground is
Explanation of Solution
Given:
The below figure represent the situation in form of triangle
Figure (1)
The angle of elevation of station
Formula used:
Law of Sines,
Calculation:
Apply Law of Sines in triangle
Substitute
Thus, the distance of satellite from the ground is
Chapter 6 Solutions
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