arush sat down to study at 8 a.m. the angle of elevation of the sun was 15'.when he finished studying the angle of elevation of the sun was 55'.how long did arush study?

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arush sat down to study at 8 a.m. the angle of elevation of the sun was 15'.when he finished studying the angle of elevation of the sun was 55'.how long did arush study?

Mathematics
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plz hlp me out today is my xam PSA

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timo u r writing something were that
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be nice poopsie how the heck you become ambassador?
set a ratio original to new time 8/x=15/55
that reduces to 8/x = 3/11
or i think i did it wrong
is there more info ruchi?
yes option is also given 40 mins, 1hrs 20mins, 2hrs 23mins, 2hrs 40 mins
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ruchi there should be a more info. other than choices.
no
i am confused perhabs if we divide the angle 360 into a 24 hour thingy. so 360 degree= 24 hour
nt getting
ooh maybe the horizontal length is fixed and just the vertical varies.
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hw to solve nt getting
what latitude does he live in?
u can read question 4 that?
sorry i think we need more info.
if you assume that the sun travels in an arc directly overhead then you can get the angular velocity of the sun as\[\omega=\frac{180^{\circ}}{12 \text{ hours}}=15^{\circ}/\text{h}\]then \[\Delta t=\frac{\Delta\theta}{w}=\frac{55^{\circ}-15^{\circ}}{15^{\circ}/h}=\frac{8}{3}h=160\text{ min}\]
but here the sun is at 15 degrees at 8 am so the time zone are a bit messed up. I guess it is plausible as long as the area is right on the edge of a time zone, but you would expect the sun to rise and set around 6am and 6 pm.

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