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(05.02 MC) If sin f° = and the measure of is 24 units, what is the measure of ?

(04.02 MC) Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle ABC that is perpendicular to . You must show all work to receive credit.

(05.03 LC) The sail of a boat is in the shape of a right triangle. Which expression shows the length, in meters, of the sail?

(04.01 MC) Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Show your work. (4 points) Part B: Find the slope of each side of the triangle. Show your work. (3 points) Part C: Classify the triangle. Explain your reasoning. (3 points)

(04.03 MC) Find the area of the following shape. You must show all work to receive credit.

(04.02 MC) Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS that is parallel to . You must show all work to receive credit.

(05.02 MC) Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir’s eyeline to the swing set is 31.43°, and Emir is 11 feet from the ground. How many feet is the base of the tree from the swingset? Round your answer to the nearest foot.

(05.02 MC) Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and the kite string forms a straight segment that is 90 feet long. Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

(04.01 LC) Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates for point B?

(05.03 MC) A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.