Download 5A.62WS-Review Unit Circle Applications

AMDM
SOHCAHTOA/Law of Sines Apps/Rev
Name _______________________________
Date ______________________ Day _____
Solve.
1. A tree casts a shadow that is 8 feet long. The angle of elevation to the top of the tree is 350 . How tall is the tree?
2. A radio tower is 78 feet tall. Find the angle of elevation to the top of the tower at a point on level ground 60 feet
from its base.
3. A line is attached to a kite. When the kite has pulled the line taut it is 65 feet vertically from the ground. The angle
of elevation to the kite is approximately 60 degrees. Approximate the length of the line attached to the kite
4. A boat in distress at sea is sighted from two coast guard observation posts, A and B, on the shore. The angle at
post A formed by lines of sight to post B and the boat is 51.2 . The angle at post B formed by the lines of sight
to post A and the boat is 25 . The observation posts are 7 miles apart. Find the distance from observation post
A to the boat.
On the circle below, label all missing information.
Find each value (exact answers, no decimal values).
1. tan 270
 

 3
6. sec  
2
3
2. csc 60
3. cos
7. cos (–120)
8. tan 585
1. Convert to degrees: a.
2
3
2. Convert to radians:
240
a.
b.
4. csc
5
4
5. cot 360
9. sin 150
10. cos
7
4
b.
3. Find one positive and one negative coterminal angle: a.
150
100
b.
210