Question

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

Answer 1

23.9 ft (nearest tenth)

Explanation:

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

`\sf \sin(\theta)=(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))=(2)/(H)`

`\implies \sf H=(2)/(\sin(4.8^(\circ)))`

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