Question

Gina uses the function LaTeX: k\left(h\right)\:=\:\sqrt{4h\:-\:12}k ( h ) = 4 h − 12 to model the height of a kite based on the amount of string released when the kite is flown. The variable h represents the height of the kite in feet and k(h) represents the amount of string released in feet. How how high was the kite when Gina released 20 feet of string?

Answer 1

68 feet

Explanation:

Gina uses the function to model the height of a kite based on the amount of string released when the kite is flown:

k(h) = 4h − 12

Where

h represents the height of the kite in feet

k(h) represents the amount of string released in feet.

We need to find the height when Gina released 20 feet of string.

Put h = 20 in the above formula.

k(20) = 4(20) − 12

= 68 feet

So, the required height is 68 feet.