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A ramp is propped against the back of a truck. There is a 30 degree
angle between the ramp and the horizontal pavement
If the distance along the ground from the end of the ramp to the point
on the ground below the back of the truck is 9 feet, how long is the
ramp, in feet? Round your answer to the nearest whole number,

Sagot :

Itachi70idn

Step-by-step explanation:

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The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The length of the ramp is,

Cos(θ) = Base/Hypotenuse

Cos(30°) = 9ft /The length of the ramp

The length of the ramp = 9ft/Cos(30°)

Length of the ramp = 10.3923 ft ≈ 10ft

Hence, the length of the ramp is equal to 10ft.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

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