1. Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin X =.

Part A:Use complete sentences to explain the special relationship between the trigonometric ratios of triangles XYZ and ABC. You must show all work and calculations to receive full credit. (5 points)

Part B:Explain how to find the measures of segments CB and AB. You must show all work and calculations to receive full credit. (5 points)

2.Use the image below to answer the following question. Find the value of sin x and cos y. What relationship do the ratios of sin x and cos y share?

3.Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46, and the kite string forms a straight segment that is 80 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.

4.An observer (O) is located 400 feet from a building (B). The observer notices a kite (K) flying at a 29 angle of elevation from his line of sight. How high is the kite flying over the building? You must show all work and calculations to receive full credit.