Answer:
377.192 (Choice A)
Step-by-step explanation:
Soh Cah Toa is an acronym used in mathematics. It is used to help remember the right-triangle-trigonometric definitions for sine,cosine, and tangent.
Sine is opposite over hypotenuse.
Cosine is adjacent over hypotenuse.
Tangent is opposite over adjacent.
Here you are given the measurement of Angle A, 5 degrees.
You are given the opposite side measurement of Angle A, 33 units.
You are asked to find the adjacent side measurement, the measurement of side AC.
Key words here are opposite and adjacent.
Which definition uses both of those? I hope you said tangent.
[tex]\tan(5^\circ)=\frac{33}{AC}[/tex]
[tex]\frac{\tan(5^\circ)}{1}=\frac{33}{x}[/tex]
Cross multiply:
[tex]x \tan(5^\circ)=33[/tex]
Divide both sides by [tex]\tan(5^\circ)[/tex]:
[tex]x=\frac{33}{\tan(5^\circ)}[/tex]
Put right hand side into calculator:
[tex]x \approx 377.192[/tex]
