Question

What is the value of x?











A.
4







B.
4 square root 3







C.
8







D.
8 square root 3



https://static.k12.com/calms_media/media/1422500_1423000/1422767/1/52235abcda5a63ec3d6e60069a91f82606ac9fe4/MS_PA_131002_171216.jpg

Answer 1

Hi there! :-)
Welcome To OpenStudy!
Are you familiar with
SOH CAH TOA?

Answer 2

Kind of... but not really, no.

Answer 3

SOH CAH TOA =Trig :P

Answer 4

Which one would we use in this case? Any ideas?

Answer 5

SOH...?

Answer 6

Perfect :)
We are given an angle measure so we need to make 2 fractions so that we can solve for x using cross multiplication think the OH in SOH
\[\huge~\rm~\frac{ \sin(60) }{ 1 }=\frac{ ? }{ ? }\]

Answer 7

x over 16.. Right?

Answer 8

Perfect so we have:
Perfect :)
\[\huge~\rm~\frac{ \sin(60) }{ 1 }=\frac{ x }{ 16 }\]
Any ideas on what we do next?

Answer 9

find out the sin(60)..

Answer 10

yep and what is sin(60)=?

Answer 11

-0.3048106211... Right? I used a calculator for this so I don't know...

Answer 12

Not sin-1 just sin(60) try again make sure you're using the right one

Answer 13

is it supposed to be in degrees? (sorry for the hassle..)

Answer 14

No not in degrees just normal and no worries :)

Answer 15

\[\sqrt{3}\]
Is this it?

Answer 16

You should have gotten 0.87 (its rounded)

Answer 17

so we have:
\huge~\rm~\frac{ \sin(60) }{ 1 }=\frac{ x }{ 16 }\[\huge~\rm~\frac{ 0.87 }{ 1 }=\frac{ x }{ 16 }\]
And now you simply cross multiply

Answer 18

Thank you!

Answer 19

You're very welcome ^_^

Answer 20

You might need to convert from decimals to square root