Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) d
what is the value of x to the nearest hundredth?
14
x
65°
30.02
6.53
5.92
12.69

Explanation:

Step1: Identify trigonometric ratio

In the right triangle, we have the adjacent side to the \(65^\circ\) angle as \(x\) and the opposite side as \(14\). So we use the tangent function: \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\tan(65^\circ)=\frac{14}{x}\).

Step2: Solve for \(x\)

Rearrange the formula: \(x = \frac{14}{\tan(65^\circ)}\). Calculate \(\tan(65^\circ)\approx2.1445\). Then \(x=\frac{14}{2.1445}\approx6.53\).

Answer:

6.53