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Allushta [10]
3 years ago
13

.A ladder is leaning against a wall. The top of the ladder is 4 feet above the ground

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Step-by-step explanation:

The ladder forms a triangle with the wall and ground.

The side of the triangle opposite of the 60° angle is 4 feet.

To find the length of the ladder (the hypotenuse), use sine.

sine = opposite / hypotenuse

sin 60° = 4 / L

L = 4 / sin 60°

L = 4 / (√3 / 2)

L = 8 / √3

L = 8√3 / 3

L ≈ 4.619 feet

To find the distance from the wall, use tangent.

tangent = opposite / adjacent

tan 60° = 4 / x

x = 4 / tan 60°

x = 4 / √3

x = 4√3 / 3

x ≈ 2.309 feet

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