Question

Help with a triangle math problem!

With this question, I'm supposed to find a three different ways... The first way I used is the law of sines.. What other two ways could I put down for the answer? Pic attached below!

Oh! And I found that a=22.65

Answer 1

@ganeshie8 Could ya help me out? :)

Answer 2

you're trying to find \(a\) ? or \(b\) ?

Answer 3

a! Well, three different ways to find a.. I'm guessing they're referring to formulas?

Answer 4

can u show me how u got \(a = 22.5\) quick ?

Answer 5

*22.65

Answer 6

sure. This is what I put on my worksheet a = (25 / sin( 90 ) ) * sin( 65 )

Answer 7

Excellent !

Answer 8

you're familiar with SOH-CAH-TOA right ?

Answer 9

@ganehie8 Yes and no.. I mean I get that SOH-CAH-TOA means remembering how to compute, sine, cosine, etc.. But I just learned all of this last week, so I'm not too proficient

Answer 10

Oh wait! Would the other two ways to solve for a just be to find cos and tan??

Answer 11

sin and cos will do :)

Answer 12

\(\sin (\theta) = \dfrac{\text{opposite}}{\text{hypotenuse}}\)


\(\cos(\theta) = \dfrac{\text{adjacent}}{\text{hypotenuse}}\)

Answer 13

Oh!! I feel so dumb, yet enlightened! Thankk you!

Answer 14

np :)

\(\sin (65) = \dfrac{\text{a}}{\text{25}}\)

Answer 15

And a would be 10.56 since the 22.65 is adjacent?