Manny is repairing a window air conditioning unit on the 11th floor of a building and is approximately 98 off the ground. while working, manny drops his screwdriver. the height (h) of the screwdriver in feet after t secounds of falling from the 11th floor is modeled by the function h= -16^2 + 98. how long will it take for the screwdriver to reach the ground? round to the nearest tenth if neccesary.

Step-by-step explanation:

we have

To find out how long it will take for the screwdriver to reach the ground, find the t-intercept of the function

Remember that

The t-intercept of the function is the value of t when the value of function h(t) is equal to zero

so

equate the function h(t) to zero and solve the quadratic equation

Solve for t

Divide by 16 both sides

square root both sides

answer: the answer is 127 degrees