John is trying to estimate how tall a tree is. the shadow created by the tree is 18 feet long. john is 6 feet tall, and his shadow is 3.5 feet long. using a proportion, estimate the height of the tree. round to the nearest
Make a comparison [tex] \frac{height}{shadow}= \frac{height}{shadow} [/tex] [tex] \frac{heightof tree}{shadow of three}= \frac{heightofJohn}{shadow of John} [/tex]
Plug the numbers into the equation above h stands for the height of tree [tex] \frac{heightof tree}{shadow of three}= \frac{heightofJohn}{shadow of John} [/tex] [tex] \frac{h}{18}= \frac{6}{3.5} [/tex]
Do cross multiplication 3.5h = 6 × 18 3.5h = 108 h = 108/3.5 h = 30.8571..
to the nearest hundredth h = 30.86 feet to the nearest tenth h = 30.9 feet
