Question

Juan plans to build a ramp from his window to the sidewalk so he can skateboard right out his window on his way to school. His window is 5ft off the ground and the sidewalk is 12ft from his house.

Answer 1

Given :

Height of the window, h = 5 ft.

Distance of the sidewalk from the house, d = 12 ft.

To Find :

The length of the slope.

Solution :

We know, angle between wall and the floor is 90°.

So, we can say that the system makes an right angle triangle.

Let, length of the ramp is x.

So, Applying Pythagoras theorem in the triangle is :

`x^2 = 5^2 + 12^2 \\\\x^2 = 25 + 144\\\\x^2 = 169\\\\x = 13\ m`

Therefore, the length of the ramp is 13 m.