Question

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

Explanation:

Step1: Use tangent function

In right - triangle ABC, $\tan x=\frac{AB}{BC}$. Here, $AB = 6.4$ and $BC=9.4$. So, $\tan x=\frac{6.4}{9.4}$.

Step2: Calculate x

$x = \arctan(\frac{6.4}{9.4})$. Using a calculator, $x=\arctan(\frac{6.4}{9.4})\approx\arctan(0.68085)\approx34.3^{\circ}$.

Answer:

$x\approx34.3^{\circ}$