Question

Math GR08 ist NW DCA 20-21

18 of 21
47 39 /0130 00
Mr. Jones is using a rope that is 8 feet long to stabilize the tree he planted in his
garden. The rope is tied down with a stake that is placed 6 feet away from the base
of the tree. A right angle is created with the rope and the base of the tree. Using the
diagram below, how far up the tree did Mr. Jones tie the rope? Round your answer to
the nearest tenth.
8 ft
6 ft
5.3 feet
6.9 feet
8.3 feet
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EF
O
AD10/12/20

Answer 1

Explanation:

To get how far up the tree that Mr. Jones tied the rope, we will use the Pythagoras theorem since a right angle is created with the rope and the base of the tree.

The length of the rope will be the hypotenuse

The distance up the tree and away from the base will be the opposite and adjacent.

Given

length of the rope = 8feet

Distance away from the base of the tree = 6ft

According to Pythagoras;

hyp² = opp²+adj²

8² = opp²+6²

opp² = 8²-6²

opp² = 64-36

opp² = 28

opp = 5.3 feet

Hence the Mr Jones tied the rope 5.3feet above the tree. Option C is correct