A ramp was built by the loading dock. The height of the loading platform is 4 feet. Determine the length of the ramp if it makes a 32° angle with the ground.
Answer (2)
The length of the ramp is approximately 7.47 feet. This is determined using the trigonometric ratio tangent, where the tangent of the angle (32°) is equal to the ratio of the opposite side (height of the loading platform) to the adjacent side (length of the ramp). ;
To find the length of the ramp, we use the sine function, where the height of the loading platform is 4 feet and the angle is 32°. The length of the ramp is calculated as approximately 7.55 feet using the formula Ramp length = s i n ( 32° ) 4 .
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