Register
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
64.3k views
5 votes
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
by
8.8k points

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
by
8.8k points
← Prev Question Next Question →

Related questions

User Jcypret
asked May 3, 2024 110k views
Simplify: 7i - √75 a) 7i - 5√3 b) 7i - 5√5 c) 7i - 25√3 d) 7i - 25√5
Jcypret asked May 3, 2024
by Jcypret
8.8k points
1 answer
0 votes
110k views
User Ln E
asked Jun 6, 2024 192k views
Select the correct answer. What is √125 in simplest form? O А. Б/Б OB. O c. OD. 15 25√5 5√25
Ln E asked Jun 6, 2024
by Ln E
8.1k points
1 answer
4 votes
192k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Write words to match the expression. 24- ( 6+3)
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Link Copied!