Question

http://prntscr.com/j425iz Geometry help :D (the numbers lol)

Answer 1

@SmokeyBrown

Answer 2

We can use the sine ratio for these kinds of problems involving right triangles. As you may know, when we talk about the 'sine' of an angle, we're talking about the ratio between the
length of the side of the triangle opposite the angle and the length of the side adjacent to the angle.

Answer 3

In this case, the side opposite the angle y has a length of 4, and the side adjacent (in contact with) the angle y has a length of 20

Answer 4

SOH-

Answer 5

Yup, exactly. We have the Sine, which is the ratio of the Opposite length and the Hypotenuse. Nice

Answer 6

So, if you calculate that ratio, what value do you get?

Answer 7

were looking for the Sine degree?

Answer 8

Well, we can find the degree of the angle once we know the value of the Sine. We'll just use an inverse-sine function, which converts the Sine value to its corresponding degree.

Answer 9

Yes

Answer 10

ok brb let me do the calculations

Answer 11

Sure thing, take your time

Answer 12

11.536959032815?

Answer 13

That's what I got, too.

Answer 14

we don't round since the number is 5

Answer 15

oh wait we do nvm

Answer 16

11.6 ?

Answer 17

I think you'd round 11.53..... down if you're rounding to the first decimal place. Since the last digit we're cutting off is 3, which is less than 5. But otherwise, I agree

Answer 18

its the nearest hundreth so my bad I think its 11.53

Answer 19

Oh, ok, in that case, I think you'd round 11.536.... up, since 6 is larger than 5. That's the way I was taught to do it, anyway

Answer 20

wait I'm confused do we round or not ? lol the question says round to the nearest hundreth idk lol

Answer 21

I see. If the question wants you to round to the nearest hundredth, you would stop after 11.53, but since the digit right after '3' is '6', you would round up to 11.54, instead of rounding down.

Answer 22

So, yes, you do round, just up in this case, not down.

Answer 23

okay nice, :) so for example if it said tenths place and the tenths number was 2 but the hundreth place is 7 we would round up?

Answer 24

if it said round by tenths place*

Answer 25

Good question. In that case, you'd care about the tenths place. And since the hundredths place is 7 (which is 5 or more), you would round up. Yup.

Answer 26

thank you. :D for all the help

Answer 27

No problem, I'm glad I can help!

Answer 28

@SmokeyBrown I got 67.38013505196 (I have to round by Hundredth) the answer would be 67.39?

Answer 29

the answer is from a different question ^ lol

Answer 30

I gotcha. So, in this case, you're trying to decide which would be closer to the hundredths place. The hundredths place digit is 8, and the digit right after is 0. So, if we estimate, would the number be closer to 67.38 or 67.39?

Answer 31

67.39 obviously lol

Answer 32

I have to round by the hundredths place

Answer 33

Mm, sorry, no. My point was that 67.3801 is closer to 67.38 than 67.39.
See, there's a 0.01 difference between 67.3801 and 67.39, but only a 0.001 difference between 67.3801 and 67.38