Asked by Liz
Steve and Peggy want to rent a 40 ft x 20 ft tent for their backyard to host a barbecue. The base of the tent is supported 7 ft above the ground by poles and the roped stakes are used for support. The ropes make a 60 degree angle with the ground. What are the dimensions of the rectangle formed by the stakes on the ground?
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Answers
Answered by
Steve
Since the ropes make an angle of 60°, they extend x feet past the tent poles,
7/x = tan 60° = √3
x = 7/√3 = 4
Assuming that there are two stakes at each corner, extending both the length and the width by 4 feet, our stake rectangle has dimensions
40+8 by 20+8 = 48x28 ft
7/x = tan 60° = √3
x = 7/√3 = 4
Assuming that there are two stakes at each corner, extending both the length and the width by 4 feet, our stake rectangle has dimensions
40+8 by 20+8 = 48x28 ft
Answered by
Anonymous
a tree needs to be staked down before a storm. if the ropes can be tied on the tree trunk 17 feet above the ground and the staked rope should make a 60 degree angle with the ground, how far from the base of the tree should each rope be staked