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A construction worker leans his ladder against a building making a 60 degree angle with the ground. If the ladder is 20 feet long, how far away is the base or the ladder from the building? Round to the nearest tenth

User Huupke
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1 Answer

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Answer: the distance from the base of the ladder from the building is 10 feet.

Explanation:

The ladder forms a right angle triangle with the wall of the building and the ground.

The length of the ladder represents the hypotenuse of the right angle triangle.

The distance, h of the base of the ladder from the building represents the adjacent side of the triangle.

To determine h, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 60 = h/20

h = 20Cos60 = 20 × 0.5

h = 10 feet

User Turion
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