Question

solve for $x$. round to the nearest tenth of a degree, if necessary.

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, \(\tan x=\frac{\text{opposite}}{\text{adjacent}}\). Here, the side opposite to \(x\) is \(12\) and the side adjacent to \(x\) is \(9.4\). So, \(\tan x=\frac{12}{9.4}\).

Step2: Calculate \(x\)

\(x = \arctan(\frac{12}{9.4})\). Using a calculator, \(\frac{12}{9.4}\approx1.2766\). Then \(x=\arctan(1.2766)\approx51.9^{\circ}\)

Answer:

\(51.9^{\circ}\)