The inclined ramp of the boat launch is 18 meters longer than the rise of the ramp. The run is 17 meters longer than the rise. How long are the three sides of the ramp?
To find the lengths of the three sides of the ramp, we need to solve a system of equations using the given information.
Let's assign variables to the lengths of the three sides of the ramp:
Rise of the ramp = x meters
Run of the ramp = (x + 17) meters (17 meters longer than the rise)
Inclined ramp = (x + 18) meters (18 meters longer than the rise)
Using these variables, we can set up the equations:
Inclined ramp = Rise of the ramp + Run of the ramp
(x + 18) = x + (x + 17)
Let's solve this equation:
x + 18 = x + x + 17
x + 18 = 2x + 17
18 - 17 = 2x - x
1 = x
So, the rise of the ramp is 1 meter.
Now we can find the lengths of the three sides of the ramp:
Rise of the ramp = x = 1 meter
Run of the ramp = x + 17 = 1 + 17 = 18 meters
Inclined ramp = x + 18 = 1 + 18 = 19 meters
Therefore, the three sides of the ramp are 1 meter (rise), 18 meters (run), and 19 meters (inclined ramp).