Question

A ramp is needed for a cat to help her walk up to the bed. The inclination of the ramp should be ${35}^o$ angle with the bedroom floor. How long must the ramp be to reach the top of the bed that is exactly three feet off the ground?

• A. $\frac{\sin {35}^o}{3}$
• B. $\frac{\sin {55}^o}{3}$
• C. $\frac{3}{\sin {55}^o}$
• D. $\frac{3}{\sin {35}^o}$

Answer 1

The correct option is D $\frac{3}{\sin {35}^o}$

Let $AB$ is the height of the bed from the ground and $BC$ is the ramp that is ${35}^{\circ }$ angle with the bedroom floor.

In the right-angled triangle $ABC$ with angle $A=$ ${90}^{\circ }$

$\Rightarrow \sin {35}^{\circ }=\frac{AB}{BC}$

$\therefore BC=\frac{3}{\sin {35}^{\circ }}$