The Elite Athletic Club sets up various obstacle courses every week to challenge its members.

Part A. The first obstacle is a triangular wooden structure that has to be climbed up over and over. Each side is made up of a wooden plank that is 22.5 feet long. If the two sides of the obstacle are 27 feet apart at the base, how high is the peak of the obstacle? Explain.

Part B. Find the approximate measure of the angle that is formed by the wooden side of the first obstacle and the ground.

Part C. The second obstacle consists of a climb up a steep hill and then a downward rope slide. The vertical drop from the top of the hill is 54 feet, and the rope from a 13° angle with the ground and the top of the hill, as shown below.

What is the approximate length of the rope slide, s, for the second obstacle?

Part D. What is the horizontal distance, d, between the starting and ending points of the rope slide obstacle, to the nearest foot? Use words, numbers, and/or pictures to show your work.

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