SOLUTION: A ladder of length 16 ft is place against a wall. If the foot of the ladder is 7 ft from the wall find the height the ladder reaches on the wall nearest to the tenth of a foot.

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Question 830074: A ladder of length 16 ft is place against a wall. If the foot of the ladder is 7 ft from the wall find the height the ladder reaches on the wall nearest to the tenth of a foot.
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
A ladder of length 16 ft is place against a wall. If the foot of the ladder is 7 ft from the wall find the height the ladder reaches on the wall nearest to the tenth of a foot.
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A:
Let x = height of the ladder
Using Pythagorean Theorem:
7%5E2+%2B+x%5E2+=+16%5E2
x%5E2+=+16%5E2+-+7%5E2+=+207
x+=+sqrt%28207%29highlight%2814.4%29 ft