Worksheet – 6.2
Name_______________________________
1. Suppose B is an acute angle, and cos B  x . Label the triangle below to help you find the following:
a. tan B
b. sin B
2. Suppose that  is an acute angle in a right triangle and sin  
2 p2q2
.
p4  q4
Find cos and tan  . Simplify as much as possible.
3. Suppose that ABC is a right triangle with C 
a. cos A
b. cot A

2
. If AC  6 and BC  2 , find
4. Use the triangle on the right to answer the following
a. Express the area of this triangle in terms of C and b only.
C
b
b. Express the perimeter of this triangle in terms of C and b only.
5. A ladder that is leaning against the side of a building forms an angle of 50 with the ground. If the
foot of the ladder is 12 feet from the base of the building, how far up the side of the building does the
ladder reach? Give an exact answer and a 2 decimal place approximation.
6. To find the height of a hill, h , two angles of elevation are measured from (horizontal) ground level.
The angle of elevation from point A, some distance from the base of the hill, to the top is 63 .
After the surveyor moves 140 feet directly away from the hill to point B, the angle of elevation to the
top is measured to be 55 . Find the height of the hill. Approximate your answer to 2 decimal places.