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Help me please! The bottom of a 25√5 foot ladder is 25 feet from the base of a house, and the top of the ladder is leaning against the house. Find the height from the base of the house to the top of the
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Help me please!

The bottom of a 25√5 foot ladder is 25 feet from the base of a house, and the top of the ladder is leaning against the house. Find the height from the base of the house to the top of the ladder.

User John Bowen
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1 Answer

4 votes
Refer to the diagram shown below.

h = the height of the house.

Apply the Pythagorean theorem to obtain
h² + 25² = (25√5)²
h² + 625 = 3125
h² = 3125 - 625 = 2500
h = √(2500) = 50 ft

Answer: The height is 50 ft.
Help me please! The bottom of a 25√5 foot ladder is 25 feet from the base of a house-example-1
User Metavida
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