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A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is the measure of the angle formed by the bottom of the ladder and the ground round to the nearest degree

User Catbert
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1 Answer

13 votes

Answer:


71.33 degree

Explanation:

The angle between the bottom of the ladder and the ground is given by


cos\alpha = (B)/(L)

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -


Cos \alpha = (8)/(25)\\Cos \alpha = 0.32\\\alpha = Cos^(-1)(0.32)\\\alpha = 71.33

User Basirat
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