CS 5150 1 CS 5150 Software Engineering Lecture 3 Software Processes 2.
1. An airplane is flying at an elevation of 5150 feet ...
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1. ⇤ Grade our solution to this problem. An airplane is flying at an elevation of 5150 feet, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 35 ◦ and to the other is 52 ◦ . How far apart are the cars? Baa
Transcript of 1. An airplane is flying at an elevation of 5150 feet ...
1. ⇤ Grade our solution to this problem.
An airplane is flying at an elevation of 5150 feet, directly above a straight highway.Two motorists are driving cars on the highway on opposite sides of the plane, and theangle of depression to one car is 35� and to the other is 52�. How far apart are thecars?
Baa
2. ⇤ Grade our solution to this problem.
Debbie Glockner-Ferrari, a whale researcher, is watching a whale approach directlytoward a lighthouse as she observes from the top of this lighthouse. When she firstbegins watching the whale, the angle of depression to the whale is 15.83�. Just as thewhale turns away from the lighthouse, the angle of depression is 35.67�. If the heightof the lighthouse is 68.7m, find the distance traveled by the whale as it approaches thelighthouse.
15.83�
35.67�
68.7m
x
3. ⇤ Grade our solution to this problem.
To measure the height of the cloud cover at an airport, a worker shines a spotlightupward at a 75� angle of elevation. An observer 600m away measures the angle ofelevation to the spot of light to be 45�. Find the height h of the cloud cover.
600m
h
45� 75�
4. ⇤ Grade our solution to this problem.
The path of a satellite orbiting the earth causes it to pass directly over two trackingstations A and B, which are 50 miles apart. When the satellite is on one side of thetwo stations, the angles of elevation at A and B are measured to be 87.0� and 84.2�
respectively. How far is the satellite above the ground?
84.2�87.0�
A B
4. ⇤ Grade our solution to this problem.
The path of a satellite orbiting the earth causes it to pass directly over two trackingstations A and B, which are 50 miles apart. When the satellite is on one side of thetwo stations, the angles of elevation at A and B are measured to be 87.0� and 84.2�
respectively. How far is the satellite above the ground?
84.2�87.0�
A B
Alternate Solution : find a,then b
,then h
.
I
✓←5.80-30=2.80/ i'§① sins.÷÷÷÷:*.. I,.*K-50-I
② sin 2.80 = Isin 2.80=49.7-44
b
b.sin 2.80=49.744Tino Tino
b = 1018.3
③ cos37¥
cos 30=41018.31018.3 cos 30 = h
h = 1017 ThesateHiteisl0l7milesabovethegroun
