SOLUTION: Please help me with this problem. It's been such a struggle. The restaurant at the top of a very tall building in Seattle rotates 1.03 revolutions every hour. Chloe sits 19.9 me

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Question 596568: Please help me with this problem. It's been such a struggle.
The restaurant at the top of a very tall building in Seattle rotates 1.03 revolutions every hour. Chloe sits 19.9 meters from the center of the restaurant near a window.
1a)Through how many radians does Chloe turn in 118 minutes?
(exact angle; use pi)
1b)Now, report the answer accurate to 3 decimal places:
(approximate)
2a)How far does Chloe move in 118 minutes?
(exact distance; use pi)
2b)Now, report the answer accurate to 1 decimal place:
(approximate)
Thanks so much!
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The restaurant at the top of a very tall building in Seattle rotates 1.03 revolutions every hour. Chloe sits 19.9 meters from the center of the restaurant near a window.
1a)Through how many radians does Chloe turn in 118 minutes?
(exact angle; use pi)
1.03 hrs = 61.8 minutes
--> 2pi*118/61.8= 2360pi/618 radians
= 1180pi/309 radians
--------------------
1b)Now, report the answer accurate to 3 decimal places:
(approximate)
=~ 11.997 radians
-------------------------
2a)How far does Chloe move in 118 minutes?
(exact distance; use pi)
= (1180pi/309)*19.9 meters
= 23482*pi/309 meters
------------------
2b)Now, report the answer accurate to 1 decimal place:
(approximate)
=~ 238.7 meters

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The restaurant at the top of a very tall building in Seattle rotates 1.03 revolutions every hour. Chloe sits 19.9 meters from the center of the restaurant near a window.
1a)Through how many radians does Chloe turn in 118 minutes?
(exact angle; use pi)
# of revolutions in 118 minutes: (118/60)*1.03 = 2.02567
# of radians = 2.02567(2pi) = 4.0513(pi) readins
-----------------------------------------------------------------
1b)Now, report the answer accurate to 3 decimal places:
= 12.728
(approximate)
2a)How far does Chloe move in 118 minutes?
(exact distance; use pi)
distance = radius*angle in radians = 19.9*4.0513(pi) = 80.62087(pi) meters
---------------------------------------------------------------
2b)Now, report the answer accurate to 1 decimal place:
Ans: 253.3 meters
=========================
Cheers,
Stan H.
(approximate)