Final answer:
To find the length of the ramp, we can use the trigonometric function tangent. The length of the ramp is approximately 81.36 feet. To find the distance along the ground from the base of the door to start building the ramp, we can use the trigonometric function sine. The distance along the ground is approximately 83.68 feet.
Step-by-step explanation:
Mathematics:
To find the length of the ramp, we can use the trigonometric function tangent. The length of the ramp is given by the formula: Length = height / tangent(angle of elevation). Given that the height is 10 feet and the angle of elevation is 7°, we can plug these values into the formula to find the length of the ramp. Length = 10 / tan(7°). Using a calculator, we can find that the length of the ramp is approximately 81.36 feet.
To find the distance along the ground from the base of the door to start building the ramp, we can use the trigonometric function sine. The distance along the ground is given by the formula: Distance = height / sine(angle of elevation). Given that the height is 10 feet and the angle of elevation is 7°, we can plug these values into the formula to find the distance along the ground. Distance = 10 / sin(7°). Using a calculator, we can find that the distance along the ground is approximately 83.68 feet.