Question

find the value of x. round to the nearest degree.
14
9

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, \(\tan x=\frac{\text{opposite}}{\text{adjacent}}\). Here, the opposite side to angle \(x\) is \(9\) and the adjacent side is \(14\). So, \(\tan x=\frac{9}{14}\).

Step2: Solve for \(x\)

Take the inverse tangent (\(\arctan\)) of \(\frac{9}{14}\). \(x = \arctan(\frac{9}{14})\). Using a calculator, \(x=\arctan(0.642857)\approx33^{\circ}\)

Answer:

\(33\)