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A ladder 4.5m long makes an angle of 60⁰ with the wall on which it leans. how far is the foot of the ladder from the wall. ​

Sagot :

To find the distance from the foot of the ladder to the wall, we can use trigonometry. Since we have the length of the ladder and the angle it makes with the wall, we can use the cosine function.Given: Length of the ladder (hypotenuse) = 4.5m Angle between the ladder and the wall = 60 degreesWe'll use the cosine function: cos(angle) = adjacent / hypotenuseSubstitute the values: cos(60 degrees) = adjacent / 4.5mcos(60 degrees) = 0.5 (you might need to use a calculator for this)Now solve for the adjacent side (which represents the distance from the foot of the ladder to the wall): adjacent = cos(60 degrees) * 4.5m ≈ 0.5 * 4.5m ≈ 2.25mSo, the foot of the ladder is approximately 2.25 meters away from the wall.
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