a rodeo performer spins a lasso in a circle perpendicular to the ground. the circle has a diameter of 118cm. she starts with the knot at the lowest point which is at 90 cm above the ground, she spins the lasso and .5 seconds later the knot is at the highest point.

Question

a rodeo performer spins a lasso in a circle perpendicular to the ground. the circle has a diameter of 118cm. she starts with the knot at the lowest point which is at 90 cm above the ground, she spins the lasso and .5 seconds later the knot is at the highest point.
1.what is the maximum height of the knot 
2.what is the minimum height of the knot
3.how long does it take for the knot to complete one cycle
4.determine the height of the knot at .25 seconds.
I got 
1.208
2.90
3.1 second
4. 149
Did I do something wrong?

Steve · Answer

h(t) = 149 - 59cos(2pi t) all your answers are correct