Question

An access ramp to a building is 3.7 m long. The distance from beginning of the ramp to the base of the building is 3.5 m. How tall is the ramp?

Answer 1

Answer: 1.2 m

Step-by-step explanation:

Given

The length of the ramp to the building is 3.7 m

Distance from the beginning of the ramp to the base of the building is 3.5 m.

Suppose h is the height of the ramp

from the figure, we can write

$\Rightarrow 3.7^2=3.5^2+h^2\\\Rightarrow 13.69-12.25=h^2\\\Rightarrow h^2=1.44\\\Rightarrow h=1.2\ m$

So, the height of the ramp is 1.2 m