Algebra 2
posted by Chelsea:) .
A boy is flying a kite. The height of the kite is 1 1/2 times greater than the horizontal distance (x). The length of string that is out is 520 ft. Determine the height of the kite.

height^2+horizontal^2=length^2
(1.5 horizontal)^2+horizonal^2=520^2
horizontal^2*(2.25+1)=520^2
horizontal= 520/sqrt3.25
height= 1.5* horizontal= 1.5*520/sqrt3.25
check my work