Question

solve for the angle
solve for x. be accurate to within one decimal.
5.7
x
1.5

Explanation:

Step1: Identify the trigonometric function

Since we know the opposite and adjacent sides of the angle $x$, we use the tangent function $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$.
$\tan(x)=\frac{1.5}{5.7}$

Step2: Solve for the angle

We take the inverse - tangent of both sides to find the angle $x$.
$x = \arctan(\frac{1.5}{5.7})$
Using a calculator, $x\approx14.7^{\circ}$

Answer:

We assume this is a right - triangle problem and we use the tangent function. If we assume the side of length $1.5$ is the opposite side and the side of length $5.7$ is the adjacent side with respect to angle $x$. Then $\tan(x)=\frac{1.5}{5.7}$. So $x = \arctan(\frac{1.5}{5.7})$.
$x=\arctan(\frac{1.5}{5.7})\approx14.7^{\circ}$