Question

Taylor is converting an old house into a music shop. In order to comply with city building code, she must install a wheelchair ramp that has an angle of elevation of no more than 4.8°. Will the dimensions shown the figure work? If not, what change should she make?

Answer 1

To Find :-

• Whether the given dimensions will work or not .

Here Taylor wants to install a wheelchair ramp with an angle of elevation not more than 4.8° . And according to the given figure , the height of the ramp is 8ft and its base length is 100ft .

In a right angled triangle we know that ,

$\longrightarrow \tan\theta =\dfrac{perpendicular}{base}$

In the given figure , perpendicular is 8ft and base is 100ft . So , the given dimensions will work if ,

$\longrightarrow \tan\theta = \dfrac{perpendicular_{ramp}}{base_{ramp}}$

Substitute ,

$\longrightarrow \tan4.8^o = \dfrac{8ft}{100ft}$

Substituting the value of tan4.8° ,

$\longrightarrow 0.83 = 0.8$

And ,

$\longrightarrow 0.83 \approx 0.8$

Therefore the given dimensions will work .