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viktelen [127]
3 years ago
7

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h

ow high up the tree does the top of the ladder reach?. . . A.. 2.4 feet. . B.. 6 feet. . C.. 9.2 feet. . D.. 10.8 feet
Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
Ladder=10 feet
bottom of ladder=4 feet
hight of tree=x
by using pythogorean theorem 
h^2=altitude^2+altitude^2
10^2=4^2+x^2
100=16+x^2
84=x^2
taking sqrt on both sides 
9.2=x
hope this helps
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look at the top triangle inside the big triangle. we know it's 2 sides but not the hypotenuse. one side would be 25 - 9 = 16 and other side is x. So so from theorem we know
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with bottom triangle we can see the same thing but with 9 and x as the sides so:
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we also know that in the main triangle:
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now all we have to do is find a way to use these 3 equations to get the answer

we know what h^2 and H^2 both equal and can plug them into equation in orsee to get rid of one and solve for the other. So we use:
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