Question

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

Explanation:

Step1: Identify the trigonometric ratio

We know that in a right - triangle, $\tan x=\frac{\text{opposite}}{\text{adjacent}}$. Here, the side opposite to angle $x$ is $2.6$ and the side adjacent to angle $x$ is $2.2$.

Step2: Calculate the tangent value

$\tan x=\frac{2.6}{2.2}=\frac{13}{11}\approx1.1818$.

Step3: Find the angle

$x = \arctan(1.1818)$. Using a calculator, $x=\arctan(1.1818)\approx49.8^{\circ}$.

Answer:

$49.8^{\circ}$