Question

The path of the longest shot put by the women's track team is modeled by h(x)=-0.015x^2 + 1.08x + 5.8, where x represents the horizontal distance from the start and h(x) is the height of the shot put above the ground. ( Both x and h(x) are measured in feet)

a. determine h(24). Round your answer to 2 decimal places. Then Explain What Your Answer means in the context of the problem. ( "In the context of the problem" means " in terms of the shot put's horizonal distance from the start and in terms of the height of the shot put above the ground.")​

Answer 1

The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.

Explanation:

we have

`h(x)=-0.015x^(2)+1.08x+5.8`

where

x represents the horizontal distance from the start in feet

h(x) s the height of the shot put above the ground in feet

Determine h(24)

That means ----> The height of the shot put above the ground for a horizontal distance of 24 feet from the start

substitute the value of x=24 ft in the quadratic equation

`h(24)=-0.015(24)^(2)+1.08(24)x+5.8`

`h(24)=23.08\ ft`

so

The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.