Question

A ramp into a building forms a 6� angle with the ground. if the ramp is 8 feet long, how far away from the building is the entry point of the ramp? round the solution to the nearest hundredth. (1 point) 5.33 feet 6.05 feet 7.04 feet 7.96 feet

Answer 1

The distance away from the building is approximately 7.96 feet.

Step-by-step explanation:

To find the distance away from the building, we can use the concept of trigonometry. The angle formed by the ramp with the ground is 6°. We can use the tangent function to calculate the length of the side opposite to the angle, which is the distance away from the building. The tangent of an angle is equal to the ratio of the length of the side opposite to the angle to the length of the side adjacent to the angle. In this case, the side opposite the angle is the distance away from the building and the side adjacent to the angle is the length of the ramp. So we have:

Tan(6°) = Distance away from the building / 8 feet

Distance away from the building = Tan(6°) * 8 feet

Using a calculator, we calculate Tan(6°) to be approximately 0.105.

Therefore, the distance away from the building is approximately 0.105 * 8 feet = 0.84 feet.

Rounded to the nearest hundredth, the distance away from the building is 0.84 feet, which is equivalent to 7.96 feet.

Answer 2

The distance from the building to the entry point of the ramp is approximately 7.96 feet. D

How to find the distance from the building to the entry point of the ramp

To find the distance from the building to the entry point of the ramp, use trigonometry and the cosine function.

With a 6-degree angle and an 8-foot-long ramp, compute the adjacent side (the distance from the building).

The cosine function links the adjacent side to the hypotenuse in a right triangle:

Cosine of an angle (θ) = Adjacent side / Hypotenuse

Using this, the calculation for the distance from the building (x) is:

x = 8 × cos(6 degrees)

Substitute the values:

x ≈ 8 × cos(6 degrees) ≈ 8 × 0.9945 ≈ 7.9559

Rounded to the nearest hundredth, the distance from the building to the entry point of the ramp is approximately 7.96 feet.

A ramp into a building forms a 6" angle with the ground: If the ramp is 8 feet long; how far away from the building is the entry point of the ramp? Round the solution to the nearest hundredth_

5.33 feet 6.05 feet 7.04 feet 7.96 feet