SOLUTION: the base of a 15ft ladder is 8 ft away from the wall. How far above the floor is the top of the ladder?

Question 332127: the base of a 15ft ladder is 8 ft away from the wall. How far above the floor is the top of the ladder?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The 15-foot ladder can be represented by the hypotenuse of a right triangle.
The 8-foot distance of the bottom of the ladder from the wall can be represented by the base of this right triangle.
So the height of the right triangle represents the distance above the floor of the top of the ladder, so you need to find the height of this right triangle to answer this question.
Substitute c = 15 ft., a = 8 feet, and b is the height that you are looking for.

Subtract 64 from both sides.
Take the square root of both sides.

The top of the ladder is 12.69 feet above the floor.
RELATED QUESTIONS
The base of a 15-ft ladder is 8 feet away from the wall. How far above the floor is the... (answered by Alan3354)

I really need help with this question. The base of an 18-ft ladder is 4 ft away from a... (answered by beccadancer15)

The base of a 17-ft ladder is 7 feet away from the wall. How far above the floor is the... (answered by nerdybill)

The base of a 15-ft ladder is 5 feet away from a wall. How far above the floor is the... (answered by Nate)

the base of a 15 -ft ladder is 5ft away from a wall.How far above the floor is the top of (answered by jsmallt9)

A 15 feet ladder is 5 feet away from a wall. How far above the floor is the top of the... (answered by jim_thompson5910)

picture with right triangle showing 17ft ladder reaches a window 15ft above ground how... (answered by solver91311)

The base of a ladder is 10 ft away from the wall. The top of the ladder is 11 ft from the (answered by checkley77)

A 6 ft ladder is placed against a wall its base 2 ft from the wall. How high above the... (answered by Alan3354)