Mike is putting a ladder up against his mothers house to clean the roof. His mothers house is 24 feet tall and he is placing the base of his ladder 7 feet away from the bottom of the house. How long is the ladder he is using

The length of the ladder is 25 feet.

Explanation:

Height of the House, h = 24 feet

Distance between the house and the ladder, b = 7 feet

length of the ladder, x = ?

The house makes 90° with the base of the ladder.

Using pythagoras theorm,

x² = h² + b²

x² = (24) ² + (7) ²

x = √625

x = 25

Therefore, the length of the ladder is 25 feet.