Ask your own question, for FREE!
Mathematics 32 Online
kaylak:

help pre cal

Shadow:

where is the question

kaylak:

1 attachment
kaylak:

@Shadow

Shadow:

For this question you need to use the Law of Sines. Do you know what that is?

kaylak:

yes i just need my answers checked

Shadow:

\[\frac{ \sin 90 \times 12 }{ \sin 15 } = c\]

Shadow:

You are correct on the first one

kaylak:

yay

kaylak:

2 . tan x =10/7=55

kaylak:

am i correct

Shadow:

Since C is a right angle, we know that c is the hypotenuse. Therefore \[\sqrt (a + b) = c\] \[12.2 = c\] We get: \[\frac{ \sin B }{ 10 } = \frac{ \sin 90 }{ 12.2 }\] \[10\sin 90 = 12.2 \sin B\] \[\frac{ 10 }{ 12.2 } = \sin B\] \[\sin^{-1} (\frac{ 10 }{ 12.2 }) = 55.05\]

kaylak:

well that works too lol

kaylak:

3 i used a^2+b^2=c^2

kaylak:

is 3 correct

Shadow:

A = \[A = 180 - 90 - 30 = 60\] \[\frac{ \sin 30 }{ b } = \frac{ \sin 90 }{ 10 }\] \[b = \frac{ 10\sin30 }{ \sin90 } = 5\] \[a^2 + 25 = 100\] \[a^2 = 75\] \[a = 8.6602\]

Shadow:

Also the correct form of the formula I used earlier is: \[c = \sqrt (a^2 + b^2)\]

kaylak:

so d is correct omg how many answers are d i have 2 more to check lol

kaylak:

1 attachment
Shadow:

|dw:1516570569473:dw|

kaylak:

ok all answers correct so far?

kaylak:

4 d 5 a

Shadow:

\[\frac{ \sin40 }{ 50 } = \frac{ \sin90 }{ c }\] \[c \sin40 = 50\sin90 \] \[c = \frac{ 50\sin90 }{ \sin40 }\] c = about 78 miles

Shadow:

\[2500 + b^2 = 6084\] b = about 60 miles

kaylak:

5?

kaylak:

you there

kaylak:

@Shadow

Shadow:

|dw:1516571585613:dw|

Shadow:

\[\frac{ \sin42 }{ 15 } = \frac{ \sin90 }{ c }\] \[c \sin42 = 15 \sin90\] \[c = \frac{ 15 \sin 90 }{ \sin42 }\] \[c = 22.4\]

kaylak:

so all are correct

kaylak:

dddda

kaylak:

right?

Shadow:

\[225 + b^2 = 501.76 \] \[b^2 = 276.76\] \[b = 16.7\]

Shadow:

Yes, you did a good job.

kaylak:

if i need your help again ill start a new post

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!