A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground. What is the horizontal distance between the front door and the point where the ramp touches the ground?
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Given,
The length of the ramp = 13 feet
Height from the ground = 5 feet
To find,
The horizontal distance between the front door and the point where the ramp touches the ground.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
If we compare the whole scenario with a right angle triangle then we will get that,
Height = Height from ground = 5 feet
Hypotenuse = Length of the ramp = 13 feet
Horizontal distance between door and touching point of ramp to the ground = x feet (assume)
According to the Pythagoras theorem,
(x)²+(5)² = (13)²
x²+25 = 169
x² = 144
x = 12
Hence, the horizontal distance between the front door and the point where the ramp touches the ground is 12 feet.
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