Answer :
Final answer:
To find the length of the ramp, use trigonometry to solve for the hypotenuse. Calculate the opposite side using the formula Opposite side = Hypotenuse x sin(angle). Convert the result to feet to get the length of the ramp.
Explanation:
To find the length of the ramp, we can use trigonometry. The opposite side of the triangle is the height of the ramp, which is 1.5 m, and the angle of elevation is 4°. We can use the formula:
Opposite side = Hypotenuse x sin(angle)
1.5 = Hypotenuse x sin(4°)
Hypotenuse = 1.5 / sin(4°)
Using a scientific calculator, we can find that the hypotenuse, or the length of the ramp, is approximately 21.2 meters. Converting to feet, we get approximately 69.6 feet. Rounded to the nearest tenth of a foot, the length of the ramp is 69.6 feet, which is closer to option a. 12.9 feet.
