Question

Solve for x round to the nearest tenth of degree if necessary

Answer 1

Answer:

x = 1 degree

Step-by-step explanation:

Using the Pythagorean theorem, $a^{2} + b^{2} + c^{2}$ we can find the unknown side then use SOHCAHTOA to find the unknown angle

First step:

$a^{2} + b^{2} = c^{2} \\45^{2} + 92^{2} = c^{2} \\2025 + 8464 = c^{2} \\10489 = c^{2}$

Take the square root of both sides

$\sqrt{10489} = \sqrt{c^{2} } \\102.4 = c$

Now to find the angle use SOHCAHTOA

Cosine = $\frac{Adjacent}{Hypotenuse}$ (The side we found is adjacent)(Hypotenuse is the longest side)

            = $\frac{102.4}{92}$

             = 0.999

Approximately 1 degree.