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A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of the angle formed by the ladder and the ground, to the nearest degree.

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rgwoot
A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of the angle formed by the ladder and the ground, to the nearest degree.
Ver imagen rgwoot

Answer: 78°

Step-by-step explanation:

From the question above, we can deduce that;

adjacent = 6 hypotenuse=28

cosθ = adjacent/hypotenuse

cosθ = 6/28

cosθ = 0.214286

θ = arc cos(0.214286)

θ= 77.628

θ=78° to the nearest degree

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