SOLUTION: A stuntman built a ramp in a shape of a right triangle. If The Base of the ramp is 12 feet long, and the length of the incline is 6 feet longer then the height, then what is the he

Question 244797: A stuntman built a ramp in a shape of a right triangle. If The Base of the ramp is 12 feet long, and the length of the incline is 6 feet longer then the height, then what is the height of the ramp?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
A stuntman built a ramp in a shape of a right triangle. If The Base of the ramp is 12 feet long, and the length of the incline is 6 feet longer then the height, then what is the height of the ramp?
a^2+b^2=c^2
12^2+b^2=(b+6)^2
use FOIL
multiply first terms. b*b=b^2
multiply outer terms b*6
multiply inner terms 6*b
add together=12b
multiply last terms 6*6=36
144+b^2=(b+6)(b+6)=b^2+12b+36
subtract b^2 from both sides.
144=12b+36
108=12b
9 ft =b=height
check
144+81=15^2=225

RELATED QUESTIONS
A skateboard ramp is in the shape of a right triangle and has a base length of 6 feet... (answered by Cromlix)

A skateboarder is building a ramp. If the ramp is 12.5 feet tall and 15 feet long how... (answered by Cromlix)

you are building a ramp that will be in the shape of a perfect right-angle triangle. The... (answered by cartert)

A ramp is pulled out of the back of a truck. If the ramp is 6 feet long and the height... (answered by josgarithmetic,josmiceli)

you are building a skateboars ramp with a piece of plywood that is 8 feet long. you want... (answered by Alan3354)

I am trying to figure the hypotenuse of a right triangle. The vertical height of the... (answered by checkley77)

Find the length of a ramp that is 8 feet long and 6 feet... (answered by smmoore)

Seth builds a bike ramp in the shape of a right triangle. One leg is one inch shorter... (answered by josmiceli)

A ramp is pulled out of the back of a truck (on flat ground). There is a 38 degree angle... (answered by mananth)