To find the length of the ramp, we can use the trigonometric function sine.
In this case, we need to find the length opposite to the given angle, which is the height of the ramp.
We can set up the equation sin(80°) = 5.8/y, where y is the length of the ramp we want to find.
Using the property of sine, we can rewrite the equation as sin(80°) = 5.8/y.
Solving for y, we have y = 5.8/sin(80°).
Using a calculator, sin(80°) ≈ 0.9848.
Substituting this value into the equation, we have:
y = 5.8/0.9848 ≈ 5.88 feet.
Therefore, the length of the ramp, y, is approximately 5.9 feet to the nearest tenth.
A ramp has a height of 5.8 feet and an angle of 80°. A sketch of the ramp is shown.
What is the length of the ramp, y, to the nearest tenth of a foot?
1 answer
1 answer