a forester wants to estimate the height of a tree. he is 6 ft tall and casts a shadow of 4 ft. If the shadow of the tree is 60 ft, how tall is the tree?
a 40 ft
b 90 ft
c 60 ft
d 64 ft
The height of the tree can be determined using the concept of similar triangles.
Let's set up the proportions:
6 ft / 4 ft = x ft / 60 ft
Cross-multiplying, we get:
4x = 6 * 60
4x = 360
x = 360 / 4
x = 90 ft
Therefore, the height of the tree is 90 ft.