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.
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.
1 answer