Answer:
7.5
Step-by-step explanation:
x is a side measurement so it can't be a degree measurement. It is a length; we aren't measuring an angle.
Let's proceed.
Soh Cah Toa is a trigonometric acronym to help students 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.
Looking at the right triangle given here you have the side that is adjacent given to the angle that has measurement 47 degrees and you are asked to find the opposite side measurement which is x.
This says we need to use tangent.
[tex]\tan(47^\circ)=\frac{x}{7}[/tex]
Multiply both sides by 7:
[tex]7\tan(47^\circ)=x[/tex]
Put this into the calculator now and you have your answer. Make sure your calculator says DEG for degrees though.
7.5 is what x is approximately.
