Question

In the design of a new building, a doorway is 2.45 ft above the ground. A ramp for the disabled, at an angle of 4.5 ° with the ground, is to be built up to the doorway. How long will the ramp be?

Answer 1

Length of the ramp, l = 31.22 feet

Step-by-step explanation:

It is given that,

A doorway is 2.45 ft above the ground, AB = 2.45 ft

Angle between the ground and the ramp is,
`\theta=4.5^(\circ)`

Applying trigonometry,

`sin\theta=(AB)/(AC)`

`AC=(AB)/(sin\theta)`

`AC=(2.45)/(sin(4.5))`

AC = 31.22 ft

So, the length of the ramp is 31.22 feet. Hence, this is the required solution.