Question

A device used in golf to estimate the distance​ d, in​ yards, to a hole measures the size​ s, in​ inches, that the 8​-ft pin appears to be in a viewfinder. The viewfinder is held 6 inches from the​ viewer's eye. Express the distance d as a function of s.

Answer 1

Answer:

$s = \frac{4}{d}$

Explanation:

The image height ratio in the viewfinder to its lateral length (6 in) is equal to the pin height ratio (8/6 yards) to the pin distance (8/6 yards) in yards. so we can write:

$\frac{s}{3} = \frac{\frac{8}{6}}{d}$

$s*d = \frac{8}{6}*3$

s*d = 4

therefore, distance as function of s is express as

$s = \frac{4}{d}$