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Crazy boy [7]
2 years ago
9

A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet f

ind the angle that the ladder makes with the ground
Mathematics
1 answer:
Pie2 years ago
6 0

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

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