Page 6 - Student Binder for AP Unit 1 Unit Circle_Neat

Accel Precalc 1.2 B Application of Basic Trigonometry
Name _________________________________ Date_____ Class _________

Solve each of the following. Round each answer to the nearest tenth:

1. The angle of depression from the top of a cliff 800 meters high to the base of a log cabin
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is37 . How far is the cabin from the foot of the cliff?

2. A salvage ship using SONAR finds the angle of depression of wreckage on the ocean floor to
be 23 . The charts show that in this region the ocean floor is 35 meters below the surface.
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How far must a diver lowered from the salvage ship travel along the ocean floor to reach the
wreckage?

3. The Eiffel Tower in Paris casts a shadow 150 meters long when the angle of elevation of the

sun is 63 . Find the height of the Tower.
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4. A ladder 10 meters long makes an angle of 68 with the ground as it leans against a building.
How far up the building does the ladder reach? How far is the foot of the ladder from the
foot of the building?

5. An 8-meter pole is leaning against a tree. The foot of the pole is 5 meters from the foot of
the tree. What angle does the pole make with the tree? Find your answer in degrees and
minutes.

6. Find the angle of elevation of the sun when a flagpole 12 meters tall casts a shadow 18 meters
long.

7. A kite string is 185 meters long and makes an angle of 36 with the horizontal. What is the
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altitude of the kite?

8. Find the measure of segment AB in this problem.