Andres boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for multiple revolutions. the ferris wheel rotates at a constant angular speed of 4.7 radians per minute and has a radius of 30 feet. let t represent the number of seconds since the ferris wheel started rotating. a. write an expression (in terms of t) to represent the varying number of radians 8 ryan has swept out since the ride started. preview s height (in feet) above preview c. write an expression (in terms of t) to represent ryan's height (in feet) above the ground.

a) r(t) = 0.783t radians

b) h(t) = 30cos(0.783*t) feet

Step-by-step explanation:

The situation is depicted in the picture attached

Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds

4.7 radians __________ 60 seconds

r(t) radians ____________  t seconds

The height h(t) after t seconds is given by

h(t) = 30cos(r(t)) ===>

h(t) = 30cos(0.783*t) feet

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

sorry

step-by-step explanation:

sorry, but im pretty sure its a now that i look at it