A tree casts a 38 foot shadow at the same time a boy casts a 9 foot shadow. if the boy is 5.5 feet tall, how tall is the tree?

Answer: 23.2 ftStep-by-step explanation:The comparison is height to shadow, so the ratios can be written as height/shadow. One ratio represents the tree while the other represents the boy. The unknown value is the height of the tree, so x will fall in the numerator.  Find the cross products, set them equal, and simplify. x/38=5.5/9 9⋅x=38⋅5.5 9x=209Divide both sides by 9 to isolate the variable x.  x=23.2