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

Answer:

Length of the ramp, l = 31.22 feet

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,

$sin\theta=\dfrac{AB}{AC}$

$AC=\dfrac{AB}{sin\theta}$

$AC=\dfrac{2.45}{sin(4.5)}$

AC = 31.22 ft

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