Question

There is a 15 meter ladder that leans against a house. It is 9 meters from the base of the wall.

How high does the ladder reach?

Answer 1

Ladder reaches the height of 12 m.

Explanation:

Now we have to,

→ find the height the ladder reaches.

Formula we use,

→ Pythagoras theorem

Forming the equation,

→ 9² + x² = 15²

Now required value of x will be,

→ 9² + x² = 15²

→ 81 + x² = 225

→ x² = 225 - 81

→ x² = 144

→ x = √(144)

→ [ x = 12 ]

Hence, ladder reaches 12 meters.