A 10 foot ladder is placed 4-feet from the edge of a building. How far up the building does the ladder reach? Round your answer
to the nearest tenth of a foot.
A:10.8 feet
B:9.2 feet
C:2.4 feet
D:3.7 feet
1 answer:
Answer:
9.2 feet. b.)
Step-by-step explanation:
This uses the Pythagorean Theorem
Do you notice that the ladder forms a right triangle with the building.
10 feet = hypotenuse length
4 feet = bottom leg length
x feet = height of building
so 10^2 = 4^2 + x^2
100 = 16 + x^2
84 = x^2
x = root(84) = 9.16515 feet about 9.2 feet
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