Question

i need the answer i can’t figure it out and my teacher won’t help

Answer 1

Solution:

From the given question, we have

To solve for the ramp angle from the ground, we use trigonometric ratios.

Thus, we have

$\sin\theta=\frac{opposite}{hypotenuse}$

This gives

$\begin{gathered} \sin\theta=\frac{11.5}{175} \\ \Rightarrow\sin\theta=0.06571 \\ take\text{ the sine inverse of both sides} \\ \sin^{-1}(\sin\theta)=\sin^{-1}(0.06571) \\ \theta=3.77^{\circ\:} \\ \therefore \\ \theta\approx3.8\degree(nearest\text{ tenth\rparen} \end{gathered}$

Hence, to the nearest tenth, the ramp angle is

$3.8\degree$