Question

Dillon places a 30-foot ladder against a wall with the base 8 feet from the wall. How high will the ladder reach?

A) 22 feet
B) 24 feet
C) 28 feet
D) 32 feet

Answer 1

The ladder will reach a height of approximately 28.93 feet.

Step-by-step explanation:

To find the height the ladder will reach, we can use the Pythagorean theorem. The ladder forms a right triangle with the wall and the ground. The length of the ladder, the hypotenuse, is 30 feet and the base is 8 feet. We can use the formula a^2 + b^2 = c^2 to find the height. In this case, a = 8, b = ?, and c = 30. So, 8^2 + b^2 = 30^2. Solving for b, we have b^2 = 30^2 - 8^2 = 900 - 64 = 836. Taking the square root of both sides, we find that b ≈ 28.93 feet. Therefore, the ladder will reach a height of approximately 28.93 feet.