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Oliga [24]
3 years ago
9

A 12 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How far up the building do

es the ladder reach ?
a. 24√2B.6√2C. 6 feetD.12√2
Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Sin (45) = height/12


height = 12sin(45) = (12√2)/2 = 6√2 feet


Answer: (B) 6√2

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The perimeter of a rectangle formula = 2L + 2W

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Hence,

L = 8 - W

The perimeter is 64 feet.

Hence,

64 = 2(8 - W) × 2W

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4W² - 32W + 64 = 0

Factorise

4W² - 16W - 16W + 64 = 0

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W = 4

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