Boris is riding a ferris wheel at a carnival. After a time t, his height H above the ground is given by the following formula. H=a cos (bt) + c Find Boris's height above the ground when a=-15m, b=2.241 rad/s, t=3s, and c=23m

Boris height above the ground is 9.428m

Step-by-step explanation:

Boris height above the ground is given by the formula;

H = a cos (bt) + c

Now, we are told that,

a = - 15m

b = 2.241 rad/s

t = 3s

c = 23m

Plugging in the relevant values, we have;

H = - 15 cos (2.241 * 3) + 23

H = - 15 cos (6.723 rad) + 23

cos (6.723rad) = 0.9048

Thus,

H = (-15 * 0.9048) + 23

H = 9.428 m

So boris height above the ground is 9.428m