Question

find the missing angle, labeled with x.

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan x=\frac{\text{opposite}}{\text{adjacent}}\). Here, the opposite side is \(7\) and the adjacent side is \(24\). So, \(\tan x=\frac{7}{24}\).

Step2: Find the angle \(x\)

We know that \(x = \arctan(\frac{7}{24})\). Using a calculator, \(x=\arctan(\frac{7}{24})\approx16.3^{\circ}\)

Answer:

\(16.3\)