Test #6 Review.
Use for questions 1-3: Devin stands 926 meters from a point directly below the peak of a mountain. The angle of
elevation between Devin and the top of the mountain is 42°.
Draw a diagram modeling the problem.
1.
If a bird flew from Devin’s position to the top of the mountain, how far would it travel? Write the equation.
2.
What is the angle of elevation from Devin’s position to the top of the mountain?
3.
How his is the peak of the mountain?
Use for questions 4 & 5: A car traveled a distance of 100 feet up a ramp to a bridge. The angle of elevation of the
ramp is 10°.
Draw a diagram modeling the problem.
4.
How high is the bridge is above road level?
5.
Find the distance from the beginning of the ramp to the base of the bridge.
7.
Let P (12, 9) be a point on the terminal side of angle,  . Draw a picture of the reference angle and find the six trig
functions of  .
8.
Given information about one trig function find the other functions:
cos   3
2
and  is in quadrant IV. Find sin  and tan  .
9.
Convert 67.98° to DMS.
10.
Convert 45°35’56” to decimal degrees.
11.
Convert 330° to radians.
12.
Sketch a graph of the parent and the transformation(s) of the following curves.
12. y = cos(x - 30°), y = cos(x+30°)
13. y = sinx -1, y = sinx +1
14. y = 2sinx
15. y = -cosx
16. y = sin(2x)
17. y = cos (1/2)x