Question

find side b

Answer 1

I can help u

Answer 2

awesome!

Answer 3

recall your SOH CAH TOA

\(\bf {\color{brown}{ sin}}(\theta)=\cfrac{opposite}{hypotenuse}
\\ \quad \\

% cosine
{\color{blue}{ cos}}(\theta)=\cfrac{adjacent}{hypotenuse}
\\ \quad \\

% tangent
tan(\theta)=\cfrac{opposite}{adjacent}=\cfrac{y}{x}\)

which one has the angle, the adjacent side, and the hypotenuse "only"?

Answer 4

\[\cos(\theta)?\]

Answer 5

ahhhh so let us use that one then

\(\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\implies hypotenuse\cdot cos(\theta)=adjacent
\\ \quad \\
cos(46^o)=\cfrac{b}{10}\implies 10\cdot cos(46^o)=b\)

Answer 6

b=6.946?

Answer 7

yeap

Answer 8

would you mind helping with some more?