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