The shortest length the hose can extend from one corner of the pool to the other is 60 feet. And the right option is B. 60 feet.
<h3>What is Pythagoras theorem?</h3>
Pythagoras theorem states that, in a right angle triangle, The square of the hypotenuse is equal to the sum of the square of the two other sides.
To calculate the shortest length the hose can extend from one corner to the other, we use the Pythagoras theorem.
From Pythagoras theorem,
- a² = b²+c²............... Equation 1
Where:
- a = Length of the hose from the southwest corner to the northwest corner of the pool.
- b = Length of the pool
- c = Width of the pool.
From the question,
Given:
Substitute these values into equation 1
- a² = 48²+36²
- a² = 2304+1296
- a² = 3600
- a = √(3600)
- a = 60 feet.
Hence, the shortest length the hose can extend from one corner of the pool to the other is 60 feet. And the right option is B. 60 feet.
Learn more about Pythagora theorem here: brainly.com/question/343682
Complete Question: A rectangular swimming pool has a length of 48 feet and a width of 36 feet, A hose needs to extend from the southwest corner of the pool to the northeast corner of the pool. What is the shortest length the hose can be to extend from one corner to the other corner?
A. 42 feet
B. 60 feet
C. 32 feet
D. 84 feet
