Question

Juan employs something called a mirror method. He places a mirror exactly 12 meters from the bottom of a maple tree and then walks backwards until he sees an image of the top of the tree . From the tree which is angle 1 and from him is angle 2 these angles are congruent. He is 5 meters away from eh mirror. He is 6 feet, 1 inc tall. How tall, in feet and inches is the tree?

Answer 1

We have similar triangles
Juan is 6' 1" = 73 inches

so we can say:
73 inches/5 m = x inches/12 m
notice we have the same units in each ratio, so
73/5 = x/12
5x = 12(73)
x = 175.2 inches
x = 14.6 ft
= 14 ft and 7.2 inches