1.If θ is the angle between the base and slope of a skate ramp, then the slope of the skate ramp...

1. If θ is the angle between the base and slope of a skate ramp, then the slope of the skate ramp becomes the hypotenuse of a right triangle. What is the length of the slope of the skate ramp if the sinθ=8/17 and the cosθ=15/17 if the sum of the horizontal base and the height of the ramp is 100ft?

2. Find the positive measure of θ (rounded to the nearest degree) if the sinθ=-0.7234, and the terminal side of θ lies in quadrant III.

3. Find the positive measure of θ (rounded to the nearest degree) if the sinθ=.0274, and the terminal side of θ lies in quadrant II.

4. Find the positive measure of θ (rounded to the nearest degree) if the cosθ=0.2134, and the terminal side of θ lies in quadrant IV.

5. Find the positive measure of θ (rounded to the nearest degree) if the cosθ=-0.8674, and the terminal side of θ lies in quadrant III.

6. Convert 6.72 radians to degrees7. Find sinθ and cosθ if tanθ=-60/11 and the

terminal side of θ lies in quadrant IV.8. Find the reference angle in radians and

degrees for 11π/18

ANSWERS1. 73.9ft2. ≈226◦

3. ≈178◦

4. ≈282◦

5. ≈210◦

6. ≈385◦

7. sinθ=-60/61 cosθ=11/618. 7π/18 & 70◦