Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

can someone please help me out? i will Medal, AND fan!! picture posted below

OpenStudy (anonymous):

OpenStudy (anonymous):

@campbell_st

OpenStudy (anonymous):

Sorry! Can't help ya there.

OpenStudy (anonymous):

Sorry, I was trying my best to help you, but I can't figure it out. :(

OpenStudy (anonymous):

@robtobey

OpenStudy (campbell_st):

well you are being asked to find the length of an arc |dw:1400097253379:dw| so if you are 32 degrees north on a great circle then you still have 58 degrees to go to get the the north pole. so if you find the circumference of a circle with radius 3960 miles then the fraction of the circumference you still have to travel is 58/360 so in summary Arc Length \[Arc = \frac{\theta}{360} \times 2 \pi r\] where @ is the angle subtended by the arc. hope it helps

OpenStudy (anonymous):

but how do you solve that?

OpenStudy (campbell_st):

well you know the angle subtended.... 58.... starting at the equator moving up to the north pole... means the angle is 90 degrees if you move up 32 degrees ... you still have 58 to travel... the meridian of longitude is a ' great circle' with a readius 3960 so if you go to the formula I posted @ = 58 and r = 3960 just substitute and then calculate the answer...

OpenStudy (anonymous):

does the @ represent the θ ?

OpenStudy (campbell_st):

thats right

OpenStudy (anonymous):

ooh ok.. hold on:)

OpenStudy (anonymous):

i got 4008.67.. is that right?

OpenStudy (anonymous):

@campbell_st ?

OpenStudy (campbell_st):

that's the answer I got.

OpenStudy (anonymous):

ok thanks so much!!:)

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!