Question

1. a tow truck raises the front end of a car 0.75 m above the ground. if the car is 2.8 m long what angle does the car make with the ground?

Explanation:

Step1: Identify right - triangle elements

We can consider a right - triangle where the height the front end is raised ($h = 0.75$ m) is the opposite side and the length of the car ($l=2.8$ m) is the hypotenuse. Let the angle the car makes with the ground be $\theta$.

Step2: Use sine function

The sine of an angle in a right - triangle is given by $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. So, $\sin\theta=\frac{0.75}{2.8}$.

Step3: Calculate the angle

$\theta=\sin^{- 1}(\frac{0.75}{2.8})\approx\sin^{-1}(0.2679)$. Using a calculator, $\theta\approx15.6^{\circ}$.

Answer:

The car makes an angle of approximately $15.6^{\circ}$ with the ground.