Question

PLEASEEEE HELPPP FASTTT !!!!!!!!!!!A driveway is built on an incline so that it rises 1.8m and goes up a diagonal distance of 34m. What is the angle between the ground the diagonal space? Complete and label the diagram for full marks and state a therefore statement.

Answer 1

Here is the diagram of the driveway:

/|

/ | 1.8m

/ |

/ |

/θ |

/____| 34m

In the diagram, the horizontal line represents the ground, and the vertical line represents the rise of the driveway. The diagonal line represents the diagonal distance traveled along the driveway.

To find the angle θ between the ground and the diagonal space, we can use trigonometry. Specifically, we can use the sine function, as it relates the opposite side to the hypotenuse.

sin(θ) = opposite side / hypotenuse

In this case, the opposite side is the rise of the driveway (1.8m), and the hypotenuse is the diagonal distance (34m).

sin(θ) = 1.8m / 34m

To find the value of θ, we need to take the inverse sine (arcsine) of both sides:

θ = arcsin(1.8m / 34m)

Using a calculator, we can find the value of θ:

θ ≈ 3.10 degrees

Therefore, the angle between the ground and the diagonal space of the driveway is approximately 3.10 degrees.

Therefore, the statement would be: The angle between the ground and the diagonal space of the driveway is approximately 3.10 degrees.