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.

Answer 1

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.