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Home > CCG > Chapter Ch5 > Lesson 5.3.5 > Problem 5-137

5-137.

Bob is hanging a swing from a pole high off the ground so that it can swing a total angle of . Since there is a bush feet in front of the swing and a shed feet behind the swing, Bob wants to ensure that no one will get hurt when they are swinging. What is the maximum length of chain that Bob can use for the swing?  

  1. Draw a diagram of this situation.

    A triangle with three sides and three angles. From the bush to the chain is x. From the chain to the shed is x. From the bush to the shed is 10. The angle of the bush is 30 degrees. The chain is 120 degrees. The shed is 30 degrees.

  2. What is the maximum length of chain that Bob can use? State what tools you used to solve this problem.

    feet