Question

Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74degrees
∘
with the ground. What’s the horizontal distance between the base of the ladder and the bottom of the wall? Round your answer to the nearest hundredth of a foot if necessary.
GPT 3.5
To find the horizontal distance between the base of the ladder and the bottom of the wall, we can use the cosine function in trigonometry.

cos(74°) = adjacent/hypotenuse
cos(74°) = x/30

Solving for x:
x = 30 * cos(74°)
x ≈ 30 * 0.2756
x ≈ 8.27 feet

Therefore, the horizontal distance between the base of the ladder and the bottom of the wall is approximately 8.27 feet.

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