Question

Can someone show me how to do this quickly?

Use the law of sines to find the missing angle of the triangle.
Find m ∠C to the nearest tenth/

Answer 1

A. 11.1 degrees
Or
B. 58.8 degrees.

Answer 2

@whpalmer4 @kropot72

Answer 3

@johnweldon1993

Answer 4

Ahh the law of sines lol

\[\large \frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}\]

Answer 5

So this means if we have an angle of A...and a side of a......along with at least 1 other angle...or 1 other side...we can solve for the missing (angle or side) that we need...

So here


We have angle A...and the corresponding side A

We also have side c...so we can solve for angle C

Answer 6

\[\large \frac{sin(24^\circ)}{77} = \frac{sin(C)}{162}\]

Answer 7

Now we just need to isolate \(\large sin(C)\) which would look like...?

Answer 8

Sin24/77 x sin c/162

Answer 9

I don't understand the isolating part.

Answer 10

Do I just solve for C ?

Answer 11

That's alright :)

so yes we have

\[\large \frac{sin(24^\circ)}{77} = \frac{sin(C)}{162}\]

If we cross multiply here (can only do this with ratios... this fraction = that fraction)

we would have

\[\large 162sin(24^\circ) = 77sin(C)\]

does that make sense? Just multiply