1. Show how you use algebra and/or geometry to answer parts a. and b. below. Credit will be awarded based on work shown, which can include an explanation, at the student's discretion. a. Find the exact value of the expression: 5. A surveyor has measured the distance to one tree as 346 ft and to another tree as 425 ft. The angle between the measurements is calculated as 16. Calculate the minimum number of feet of rope needed to tie a line between sin (sin(+tan (3) 2. Answer the following. 2 a. Solve the triangle with the given information. Angle a = 57 Side a = Angle =20 Side b = Angle y= 103 Side c=10 the two trees. b. Show work to determine whether a triangle with b = 9, c = 3.7, and y = 22 has no solution, one solution, or two solutions. IG/ Circle the appropriate response: No Triangle One Triangle Two Triangles ils . If there is no triangle leave the rest of the blanks empty. If there is at least one triangle, solve it and enter your solution in the blanks on the left. If there is a second triangle, find its angles and enter them in the blanks on the right (but don't worry about finding the side lengths of the second triangle). T Triangle 1 Triangle 2 Angle a = Side a = Angle a = Angle = Side b = 9 Angle = Angle y = 22 e Side c = 3.7 Angle y = 22 3. The point Q has polar coordinates (5,-). a. 4. Find another set of polar coordinates for the same point location. Show work to support your answer, or verbally describe your logic. b. Find the rectangular coordinates of Q. Show work to support your answer, which should be an (x, y) coordinate pair. Answer the following. a. Convert the equation from polar to rectangular form, then either sketch a graph of the resulting function or describe its shape verbally. 8 = Sketch or description of rectangular graph. b. Convert the following equation from rectangular form to polar form. x + y = 4y 346 ft 16 425 ft