Question

a fire truck is parked 25 feet away from a high rise. the ladder on the truck reaches 100 feet. how high up the high rise can the ladder reach?

Answer 1

If the fire truck is parked 25 feet away from the high rise and the ladder on the truck reaches 100 feet, we can use the Pythagorean theorem to find out how high up the high rise the ladder can reach.

Let's assume that the height the ladder can reach is "x". Then, we can set up the following equation:

25^2 + x^2 = 100^2

Simplifying this equation, we get:

625 + x^2 = 10000

Subtracting 625 from both sides, we get:

x^2 = 9375

Taking the square root of both sides, we get:

x = sqrt(9375)

x ≈ 96.81

Therefore, the ladder on the fire truck can reach a height of approximately 96.81 feet up the high rise