Question

Can someone help me please

Answer 1

Using the Law of Sines  (sina/A=sinb/B=sincC for any triangle)

sinc/28=sin90/53  (sin90=1)  multiply both sides by 28

sinc=28/53  take the inverse of sin (arcsin) of both sides

c=arcsin(28/53)°

c≈31.89°  (to nearest hundredth of a degree)

So it is obvious that they rounded to nearest tenth of a degree

c≈31.9°

Answer 2

Look at angle c, and then look at the other measures and sides. Which sides are shown with their values? The hypotenuse, opposite side, and adjacent side are shown, with their values, so let's choose which way we're going to do this (sine, cosine, tangent). Let's pick tangent, just because :)

tan c° = opposite side / adjacent

So, plug in the values.

Opposite side = 28

Adjacent = 45

tan c° = 28/45

Divide 28 from 45.

tan c° = 0.6222

Your teacher may have given you the Table of Trigonometric Ratios. Go onto the tangent side of the paper, and look through the numbers. Which number is closest to 0.6222?

32° is!

So :

c = 32°

However, because this is rounded, we must look at the answer choices and see which one is closest to 32°.

31.9° is closest to 32°, so 31.9° is your answer.

~Hope I helped!~