am i on the right path

Question

Vocaloid · Answer

good so far

I believe you would have to use the law of sines since it's not explicitly stated that the triangle is a right triangle

Sarah10 · Answer

so i used the law of sines and i got the answer 72.7393

but wouldn't that be solving for my adjacent side not my angle for the hyp?

Vocaloid · Answer

well yeah, that's the first step, then you can plug that new side back into the law of sines to get your angle

72.7393/sin(theta) = 53/sin(36) then you can solve for theta

Vocaloid · Answer

actually I think there may be a better way to do it, if we re-start from the beginning

53/sin(36) = 90/sin(theta)

that'll give you the largest angle directly, since that's the angle across from the largest side

Sarah10 · Answer

53/sin(36) = 90/sin(X)  i plugged it in like this and it gave me = 86.49

Vocaloid · Answer

yeah that's what I got too

Sarah10 · Answer

Thank you veryyyyy much