A blimp can be seen flying at an altitude of 8600 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the startdash-finish line is d feet. Express the horizontal distance h as a function of d.

This is the concept of geometry, to get the expression for horizontal distance h as a function of d, we shall use the Pythagorean theorem;

c^2=a^2+b^2

thus;

hypotenuse=d

horizontal=h

slanting=8600

thus;

d^2=h^2 + (8600) ^2

This implies that:

d=sqrt (h^2 + (8600) ^2)

thus;

d (h) = sqrt (h^2 + (8600) ^2)