Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

Question

sophiajc · Answer

attachment

sophiajc · Answer

@jadeishere

jadeishere · Answer

What unit in geometry are you in right now?
The trig functions?

jadeishere · Answer

And no.. It's not the pythagorean theorem, at all @rebeccaxhawaii

sophiajc · Answer

yes

jadeishere · Answer

Okay, so you can use any of the functions; sin, cos or tan to solve this problem.
Which one do you want to try to use?

sophiajc · Answer

sin

rebeccaxhawaii · Answer

well sorry i just took a quick look at it and obviously didnt look adequately @Jadeishere

jadeishere · Answer

I'm not trying to be rude, im sorry if I cam across that way @rebeccaxhawaii just trying to help >.<

Okay, so Sophia, in order to solve a sin equation
you need to use the Opposite side from the angle over the hypotenuse (the long side of the triangle).

$$\sin = \frac{ 5 }{  hypotenuse}$$

This is where Rebecca was right, though (sorry)
you need to use the pythagorean theorem in order to find the hypotenuse
which is $$a^2 + b^2 = c^2$$

So a and b can be either of the sides (5 or 14)
so $$5^2 + 14^2 = hypotenuse^2$$

sophiajc · Answer

1 second...

sophiajc · Answer

221?

jadeishere · Answer

Yep :) 
so what's the square root of 221?

sophiajc · Answer

14.86606875

jadeishere · Answer

okay, hmm... Lol so we'll round that to the nearest tenth which is 14.9
so substitute that into the equation
$$\sin = \frac{ 5 }{ 14.9 }$$
then solve that and you should have your sin :)
So when you have your sin
you'll want to put that into a calculator as 
OH MY GOSH I JUST REMEMBERED SOMETHING THAT WOULD'VE BEEN VERY MUCH SO EASIER THAN USING SIN I AM SO SORRY!!!!

jadeishere · Answer

Okay, so do you know what SOHCAHTOA is?

sophiajc · Answer

yes lol

jadeishere · Answer

Phew /).<
Forgive me I haven't done this in 4 or 5 years so.. Agh
So tan is opposite over adjacent, and those are the two sides we already have the measurements for, so it would've been so much easier to do tan....
dangit..

jadeishere · Answer

So what you needs to be done is simply  $$\tan =\frac{ 5 }{ 14 } $$
which is approximately 0.36
so in a calculator put $$\tan^{-1} $$

sophiajc · Answer

0.33557047

jadeishere · Answer

Wait.. Oh, lol, that's what I did wrong. You dont need to solve it >.< The angle came out the wrong number, so what you need to do is, on a scientific calculator, put in the inverse tan of 5/14 and then you'll have your angle measurement in degrees

jadeishere · Answer

Gosh I feel like an arse. I'm sorry