A ramp leads up to a building. The top of the ramp is 4 feet above the ground, and the bottom is 14 feet from the building. what is the length of the ramp?
I think the answer is 18 ft.
choices are:
A. 18.6ft
B. 18ft
C. 14.6ft
D. 10ft
Nope.
This makes a right triangle. Use the Pythagorean Theorem to find the hypotenuse.
To find the length of the ramp, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the height of the building forms one side of a right triangle, the horizontal distance from the building to the bottom of the ramp forms the other side, and the ramp itself forms the hypotenuse.
Applying the Pythagorean theorem:
Length of ramp^2 = Height of building^2 + Distance to building^2
Length of ramp^2 = 4^2 + 14^2
Length of ramp^2 = 16 + 196
Length of ramp^2 = 212
Taking the square root of both sides to solve for the length of the ramp:
Length of ramp = √212 ≈ 14.6 ft
Therefore, the correct answer is C. 14.6 ft.