Question

instructions
choose the best answer. if necessary, use the paper you were given.
question
jasmine placed a ramp against the back of a moving truck. the angle formed by the ramp and the ground is $x^{circ}$, as shown below.
what is the approximate value of $x$?
23
25
65
67

Explanation:

Step1: Recall the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, for angle \(x\), the opposite side is \(5\) feet and the adjacent side is \(12\) feet. So, \(\tan x=\frac{5}{12}\).

Step2: Calculate the value of \(x\)

We know that \(x = \tan^{- 1}(\frac{5}{12})\). Using a calculator, \(\tan^{-1}(\frac{5}{12})\approx22.62^{\circ}\approx23^{\circ}\)

Answer:

23