Anthony leans a 28-foot ladder against a wall so that it forms an angle of 76^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

If we correlate this scenario with a right-angle triangle, the ladder will be the hypotenuse while distancing between the base of the ladder and the wall will be the adjacent side.

What is the cosine of an angle?

The cosine of an angle is the ratio of the adjacent side(of that angle) to the hypotenuse of the triangle.

So, [tex]Cos 76 = \frac{ADJACENTside}{28}[/tex]

Adjacent side = 28Cos76°

Adjacent side = 6.77 feet

Therefore, the horizontal distance between the base of the ladder and the wall is 6.77 feet.

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Anthony leans a 28-foot ladder against a wall so that it forms an angle of 76^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.​

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What is the cosine of an angle?

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Anthony leans a 28-foot ladder against a wall so that it forms an angle of 76^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.