You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 feet above you. The height of the grappling hook that you throw is given by the function: h(t) = -16t² + 32t + 5. What is the maximum height of the grappling hook? Can you throw it high enough to reach the ledge? Why or why not?
a. The maximum height is 45 feet. Yes, you can reach the ledge because the maximum height is greater than 20 feet.
b. The maximum height is 45 feet. No, you cannot reach the ledge because the maximum height is less than 20 feet.
c. The maximum height is 25 feet. Yes, you can reach the ledge because the maximum height is greater than 20 feet.
d. The maximum height is 25 feet. No, you cannot reach the ledge because the maximum height is less than 20 feet.