1. (7 points) Assume 9 is in radians. The angles requested are measured counterclockwise from the positive azaxis to the ray corresponding to the given point and are in [0, 271']. The three right triangles depicted with one side on the gitaxis all have horizontal sides of the same length. Let 1) = 3 cm. (a) (2 points) Write h in terms of 9. Then write (9 in terms of h. (b) (2 points) Fill in the table below. Answers may include 11,9 (but not h). Justify your work. point coordinate angle (c) (1 point) If h, = 7 cm, what is the radius r? (d) (1 point) If h = 7 cm, determine 6 in radians. Show your work and, in the last step, use a calculator to evaluate 6 to 2 decimal places. (e) (1 point) If h = 7 cm, determine the angle, in radians, counterclockwise from the positive xaxis (3 o'clock) to B. Write out all work by hand and in the last step you may use your calculator to evaluate the angle to 2 decimals. Is the angle you calculated in the correct quadrant? How do you know? 2. (3 points) A right triangle has vertices at (0,0), (luv), and (11,0). This triangle has 2 known side lengths: h = 7 in and v = 5 in. Draw a picture, carefully write out all your work, and include units. Your nal answer may include unevaluated trig or inverse trig functions. Do not use a calculator. (a) (1 point) Determine the length of the hypotenuse. (b) (2 points) Determine the measure of the angle formed at the origin and the angle formed at (h, v) in degrees