Answer:
x = 1 degree
Step-by-step explanation:
Using the Pythagorean theorem, [tex]a^{2} + b^{2} + c^{2}[/tex] we can find the unknown side then use SOHCAHTOA to find the unknown angle
First step:
[tex]a^{2} + b^{2} = c^{2} \\45^{2} + 92^{2} = c^{2} \\2025 + 8464 = c^{2} \\10489 = c^{2} \\[/tex]
Take the square root of both sides
[tex]\sqrt{10489} = \sqrt{c^{2} } \\102.4 = c[/tex]
Now to find the angle use SOHCAHTOA
Cosine = [tex]\frac{Adjacent}{Hypotenuse}[/tex] (The side we found is adjacent)(Hypotenuse is the longest side)
= [tex]\frac{102.4}{92}[/tex]
= 0.999
Approximately 1 degree.
