Question

30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0

Answer 1

h = 50 cos ( pie(x - 10 )/15 ) + 52

80 = 50 cos ( pie( x - 10 )/15 ) + 52

80 - 52 = 50 cos ( pie( x - 10 )/15 )

28 = 50 cos ( pie( x - 10 )/15 )

cos ( pie( x - 10 )/15 ) = 28/50

cos ( pie( x - 10 )/15 ) = 56/100

cos ( pie( x - 10 )/15 ) = cos ( 56 )

cos ( pie( x - 10 )/15 ) = cos ( 0.3111 pie )

Thus ;

pie( x - 10 )/15 = 0.3111 pie

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.6665

x = 10 + 4.6665

x = 14.6665 [ approximately ]

Thus the correct answer is exactly what u chose goodjob .....