Question

To determine the height of the 3rd floor when the base of the ladder is set 5 meters away from the building, you can use the Pythagorean Theorem. Let H be the height you want to find.

The ladder (10m) is the hypotenuse, the distance from the base to the building (5m) is one leg, and H is the other leg. So:
10^2 = 5^2 + H^2
Simplify and solve for H:
100 = 25 + H^2
H^2 = 100 - 25
H^2 = 75
H = √75
H ≈ 8.7 meters
So, the height of the 3rd floor is approximately 8.7 meters.

Answer 1

To determine the height of the 3rd floor when the base of the ladder is set 5 meters away from the building, you can use the Pythagorean Theorem. The height of the 3rd floor is approximately 8.7 meters.

Step-by-step explanation:

To determine the height of the 3rd floor when the base of the ladder is set 5 meters away from the building, you can use the Pythagorean Theorem. Let H be the height you want to find.

The ladder (10m) is the hypotenuse, the distance from the base to the building (5m) is one leg, and H is the other leg. So:
102 = 52 + H2
Simplify and solve for H:
100 = 25 + H2
H2 = 100 - 25
H2 = 75
H = √75
H ≈ 8.7 meters

So, the height of the 3rd floor is approximately 8.7 meters.