Question

Suppose a ramp 2 ft high makes an angle of 4.8° with the ground. Find the length of the ramp.​

Answer 1

Answer:

23.9 ft (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio to find the length of the ramp.

$\sf \sin(\theta)=\dfrac{O}{H}$

where:

• $\theta$ is the angle
• O is the side opposite the angle
• H is the hypotenuse (the side opposite the right angle)

Given:

• $\theta$ = 4.8°
• O = height of ramp = 2 ft
• H = length of ramp

Substituting the given values into the formula and solving for H:

$\implies \sf \sin(4.8^{\circ})=\dfrac{2}{H}$

$\implies \sf H=\dfrac{2}{\sin(4.8^{\circ})}$

$\implies \sf H=23.9\:ft\:(nearest\:tenth)$