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Mathematics 8 Online
OpenStudy (anonymous):

find values f angle B AND B', pic in comments!!

OpenStudy (anonymous):

OpenStudy (vishweshshrimali5):

You can use sine rule

OpenStudy (vishweshshrimali5):

\[\large{\cfrac{\sin{\theta}}{12.3} = \cfrac{\sin{B'}}{13}}\] You are given that \(\large{\theta = 60}\) degrees

OpenStudy (vishweshshrimali5):

Have you read sine rule @nabiladh

OpenStudy (anonymous):

yes

OpenStudy (vishweshshrimali5):

Great then use it as I told before :)

OpenStudy (vishweshshrimali5):

\(\color{blue}{\text{Originally Posted by}}\) @vishweshshrimali5 \[\large{\cfrac{\sin{\theta}}{12.3} = \cfrac{\sin{B'}}{13}}\] You are given that \(\large{\theta = 60}\) degrees \(\color{blue}{\text{End of Quote}}\) Using this we can find \(\sin B'\). Now from sin B' we can calculate B'. --------- ( Ans - 1)

OpenStudy (vishweshshrimali5):

Any doubt ?

OpenStudy (anonymous):

would i just plug in 60 for sin theta

OpenStudy (vishweshshrimali5):

Yup sin theta would become sin (60) which is equal to ?

OpenStudy (anonymous):

sinB

OpenStudy (anonymous):

cross multiply?

OpenStudy (vishweshshrimali5):

Why sin B ?

OpenStudy (anonymous):

well it says =

OpenStudy (vishweshshrimali5):

No no \[\large{\sin (60) = 0.866 = \sin{\theta}}\]

OpenStudy (vishweshshrimali5):

Because, \[\large{\theta = 60}\]

OpenStudy (anonymous):

oh ok ok

OpenStudy (vishweshshrimali5):

Using it we can find out the numerical value of sin B'

OpenStudy (anonymous):

yeah by cross multipply?

OpenStudy (vishweshshrimali5):

Yes

OpenStudy (vishweshshrimali5):

\[\large{\sin B' = \cfrac{13}{12.3}\sin {\theta}}\]

OpenStudy (anonymous):

.915?

OpenStudy (vishweshshrimali5):

Correct

OpenStudy (anonymous):

now what do i do witht tht

OpenStudy (anonymous):

that*

OpenStudy (vishweshshrimali5):

Now you can use a calculator to find out B'

OpenStudy (anonymous):

how on earth will i find that

OpenStudy (vishweshshrimali5):

Sorry I got stuck in other question. Well you can use a calculator find out arcsin (0.915)

OpenStudy (vishweshshrimali5):

B' = arcsin(0.915)

OpenStudy (vishweshshrimali5):

It is 66.2499 degrees

OpenStudy (anonymous):

oh i got 66.21

OpenStudy (vishweshshrimali5):

Yeah... Sorry I wrote B' in place of B in above comments. Actually, B = 66.25

OpenStudy (anonymous):

yes got confused oops

OpenStudy (vishweshshrimali5):

Sorry again :) Now the left small triangle is an isosceles triangle

OpenStudy (anonymous):

yes yes got it thanks bb

OpenStudy (vishweshshrimali5):

Your welcome :)

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