Law of Sine and Cosine Word Problems Practice Quiz
1. Two people looked up in the sky and saw superman flying. Person A saw
Superman at an angle of elevation of 65o and person B saw Superman at an angle
of elevation of 80o. The two people are standing 30 feet from each other
a) Compute the distance from each person to superman.
b) Compute Superman’s height off the ground.
A
B
2. A boat is sailing due east parallel to the shoreline at a speed of 15 miles per hour.
At a given time the, the bearing to a lighthouse is S 54o E, and 2 hours later the
bearing is S 36o E. Find the distance from Boat Position 2 to the lighthouse.
Boat Position 1
Boat Position 2
Lighthouse
3. Two planes leave an airport at the same time. One plane is flying 400 m.p.h at a
bearing N 36o E, and the other plane is flying at 600 m.p.h at a bearing of N 46o
W. How far apart are the planes after flying for 1.5 hours?
Airplane 2
Airplane 1
Airport
4. The Leaning Tower of Pisa Forms a 4o angle with the vertical. The sun hits the
tower forming a 100-foot shadow with an angle of elevation of 58.7o from the end
of the shadow. What is the height of the tower from the to ground?