The weight m of an object on the moon varies directly as its weight e on earth. a person who weighs 152.71 l b152.71 lb on earth weighs 25.96 l b25.96 lb on the moon. how much would a 219.41 dash l b219.41-lb person weigh on the moon?

37.29lb

Explanation:

Because it varies directly the problem can be solved by the direct rule of three:

Where the value of a,b and c are known, then d is equal to

The weights in the earth are a and c, and b is the weigh-in the moon, also a and b correspond to the same person, then:

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y