Asked by Rofiat
A ladder 6cm long leans against a wall and make an angle of 50 with the wall. Find the distance between the wall and the foot correct to two decimal places.
Answers
Answered by
GPT 3.5
To find the distance between the wall and the foot of the ladder, we can use trigonometry.
Let x be the distance between the wall and the foot of the ladder.
We can set up a right triangle with the ladder as the hypotenuse, the distance x as the adjacent side, and the height of the ladder as the opposite side.
Using the given information, we have:
cos(50) = x/6
Rearranging the equation to solve for x:
x = 6 * cos(50)
Using a calculator, we find:
x ≈ 6 * 0.6427
x ≈ 3.856
Therefore, the distance between the wall and the foot of the ladder is approximately 3.86 cm.
Let x be the distance between the wall and the foot of the ladder.
We can set up a right triangle with the ladder as the hypotenuse, the distance x as the adjacent side, and the height of the ladder as the opposite side.
Using the given information, we have:
cos(50) = x/6
Rearranging the equation to solve for x:
x = 6 * cos(50)
Using a calculator, we find:
x ≈ 6 * 0.6427
x ≈ 3.856
Therefore, the distance between the wall and the foot of the ladder is approximately 3.86 cm.