To estimate the height of a tree, Tia and Felix walk away from the tree until the angle of sight with the top and bottom of the tree is a right angle. Let h represent the height of a person's eyes and d represent the distance away from the tree. Answer parts a to c below.
a. If the height of Tia's eyes is 1.6 m and her distance away from the tree is 2.5 m, what is the height of the tree?
The height of the tree is about
(Type an integer or decimal rounded to the nearest hundredth as needed.)
b. If the height of Felix's eyes is 1.7 m, about how far from the tree is Felix if his angle of sight is a right angle?
Felix is about
from the tree.
(Type an integer or decimal rounded to the nearest hundredth as needed.)