Question

Your school is organizing a carnival. You are building a ramp for a game. The ramp will be 8 feet long with a total rise of 5 feet. Find the angle of elevation of the ramp.

Answer 1

Are you in home school

Answer 2

basic trig:

sinØ = 5/8 = ..
Ø = appr 38.7°

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the angle of elevation of the ramp, we can use trigonometry. The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

In this case, the height of the ramp (opposite side) is 5 feet and the length of the ramp (adjacent side) is 8 feet. So, to find the angle of elevation (θ), we can use the formula:

tan(θ) = opposite/adjacent

Substituting the values:
tan(θ) = 5/8

Now, we can take the inverse tangent (arctan) of both sides to find the angle of elevation (θ):

θ = arctan(5/8)

Using a calculator, we can find the value of arctan(5/8) to be approximately 32.48 degrees.

So, the angle of elevation of the ramp is approximately 32.48 degrees.

Answer 4

[AI-generated answer — Explain Bot]

To find the angle of elevation of the ramp, we can use the trigonometric function called tangent (tan). Tangent is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the length of the side opposite the angle is the total rise of the ramp, which is 5 feet, and the length of the side adjacent to the angle is the length of the ramp, which is 8 feet.

So, we can use the formula: tan(angle) = opposite/adjacent to find the angle.

Plugging in the values, we have: tan(angle) = 5/8.

To find the angle, we need to take the inverse tangent (arctan) of the ratio using a calculator.

So, angle = arctan(5/8).

Using a scientific calculator or an online trigonometric calculator, we can find the inverse tangent of 5/8, which is approximately 31.57 degrees.

Therefore, the angle of elevation of the ramp is approximately 31.57 degrees.