The hour hand is 3 on the Springfield city hall clock. This clock has a minute hand of 10 feet. If the shortest distance from the end of the minute hand to the hour hand is 6.5 feet, what time is it? (Two possibilities) Round to the nearest minute.

Question

The hour hand is 3 on the Springfield city hall clock. This clock has a minute hand of 10 feet. If the shortest distance from the end  of the minute hand to the hour hand is 6.5 feet, what time is it? (Two possibilities) Round to the nearest minute.

elisaneedshelp · Answer

@nincompoop  can you help me with this one too?

elisaneedshelp · Answer

@campbell_st @Luigi0210 @whpalmer4 please

elisaneedshelp · Answer

Please i have very limited time and i need help

campbell_st · Answer

what grade..?

elisaneedshelp · Answer

Im in 10th grade please help me

elisaneedshelp · Answer

This problem has something to do with trigonometry but idk how to do it myself

campbell_st · Answer

well this is what I'd say 

|dw:1394779089855:dw|

find the size of angle x

sin(x) = 6.5/10

then get an angle...

campbell_st · Answer

when you know the angle use

angle/360 * 60 will give the the number of minutes.... 

so the 2 answers will be 

15 - minutes    xx

15 + minutes   yy

to get the time... 

it will be 

3: xx       and 3:yy

campbell_st · Answer

so what did you get for the angle..?

elisaneedshelp · Answer

i dont think i got it right at all....0.65...i guess i didnt put it in correctly

campbell_st · Answer

you need to find arc sin or inverse sin to get the angle.

$$x = \sin^{-1}(\frac{6.5}{10})$$

elisaneedshelp · Answer

40.54

elisaneedshelp · Answer

40.54160187

campbell_st · Answer

great how many minutes is that

use  40.54/360 * 60 =

elisaneedshelp · Answer

0.001876852

campbell_st · Answer

hold on you need 

$$(40.54 \times 60)\div 360 = $$

elisaneedshelp · Answer

6.756666667

campbell_st · Answer

great so the minute hand is 6.76 minutes above the 3 on the clock 

so rounding is 

3:(15 - 7) oclock

and after 15 its

3:(15 + 7) oclock

elisaneedshelp · Answer

3:08 and 3:22

campbell_st · Answer

that would be my answer

elisaneedshelp · Answer

yay thank you and could you help me with another one? An airplane is on a 36 degree approach to the airport.If the altimeter reads 25,000feet, how long is the remaining flight path (the diagonal) in miles? Round to the 1000th of a mile.

campbell_st · Answer

you could have used the rule of sines for that... not sure if you've done it...

campbell_st · Answer

post the question in the normal way rather than adding... as someone else will help...

campbell_st · Answer

I'm not confident on the solution just rethinking it... perhaps law of sines would have been better

campbell_st · Answer

perhaps 3:10 and 3:20 may be closer

elisaneedshelp · Answer

then we would have to change how we worked it out...

campbell_st · Answer

well my question is... have you done the law of sine... or the sine rule..?

elisaneedshelp · Answer

Nope and anyway i cant spend too much time on one problem cuz i only have two hours anyway before i have to get ready for school :/

campbell_st · Answer

ok... so I'd leave it at that

elisaneedshelp · Answer

yep