SOLUTION: A swing starts at the angle of 53 degrees to the horizontal swing. Every time the swing stops to turn in the opposite direction, the angle between the chain and the vertical is 1

Algebra ->  Angles -> SOLUTION: A swing starts at the angle of 53 degrees to the horizontal swing. Every time the swing stops to turn in the opposite direction, the angle between the chain and the vertical is 1       Log On


   

Question 85283: A swing starts at the angle of 53 degrees to the horizontal swing. Every time the swing stops to turn in the opposite direction, the angle between the chain and the vertical is 1 degree less. How many times did the swing pass the vertical position before it stopped? What amount of degrees did it move through from beginning until it stopped?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
A swing starts at the angle of 53 degrees to the horizontal swing. Every time the swing stops to turn in the opposite direction, the angle between the chain and the vertical is 1 degree less. How many times did the swing pass the vertical position before it stopped? What amount of degrees did it move through from beginning until it stopped?
ORIGINAL ANGLE =53
ANGLE IN THE I PASS BEYOND THE VERTICAL =53
II PASS =52
III PASS =51
........
NTH PASS =53-N+1 =0 WHEN IT COMES TO STOP
N=54..PASSES
TOTAL DEGREES MOVED =53+52+51+.............3+2+1=53(53+1)/2=1431