Answer:
26.9 foot long ladder at least (probably better make it 27 feet to be safe)
Step-by-step explanation:
This is a Pythagorean theorem question
The ladder is the hypotenuse or c
the distance from the wall is a leg or a
and the wall is the other leg or b
a² + b² = c²
10² + 25² = c²
100 + 625 = c²
725 = c²
√ √
√725 = √c²
26.9 = c
The tallness of the ladder would be 26.92 feet in order to reach up a 25-foot tall house when place 10 feet away from the house and this can be determined by using the Pythagorean theorem.
Given :
The Ladder will reach up a 25-foot tall house when place 10 feet away from the house.
The Pythagorean theorem can be used to determine the length of the ladder. The Pythagorean theorem is given by:
[tex]\rm H^2 = P^2 + B^2[/tex] --- (1)
where H is the hypotenuse, P is the perpendicular and B is the base.
Given that the Ladder will reach up a 25-foot tall hose when placed 10 feet away from the house that means P is 25 and B is 10.
Now, put the values of P and B in the equation (1).
[tex]\rm H^2 = 25^2 + 10^2[/tex]
[tex]\rm H = \sqrt{625+100}[/tex]
[tex]\rm H = \sqrt{725}[/tex]
H = 26.92 feet
So, the tallness of the ladder would be 26.92 feet in order to reach up a 25-foot tall house when place 10 feet away from the house.
For more information, refer to the link given below:
https://brainly.com/question/24252852
