Question

A 10m ladder leans against a vertical wall. If the base of the ladder is 6m away from the wall, what is the height it reaches on the wall?

A) 8m
B) 4m
C) 6m
D) 10m

Answer 1

To find the height the ladder reaches on the wall, we can use the Pythagorean theorem. By substituting the given values into the equation and solving for the height, we find that the ladder reaches a height of 8m on the wall.

Step-by-step explanation:

To calculate the height the ladder reaches on the wall, we can use the Pythagorean theorem. The ladder, the base, and the height of the triangle formed make up a right triangle. Since we know the length of the ladder (10m) and the distance of the base from the wall (6m), we can use the Pythagorean theorem to find the height.

10^2 = 6^2 + h^2

Simplifying, we get:

100 = 36 + h^2

Now subtract 36 from both sides:

64 = h^2

Taking the square root of both sides:

h = 8m

Therefore, the ladder reaches a height of 8m on the wall. So the answer is A) 8m.