A tree casts a shadow of 34 feet at the time when a 3-foot tall child casts a shadow of
1.7feet. Find the height of the tree?
Let x be the height of the tree in feet.
Using similar triangles, we can set up the following proportion:
x/34 = 3/1.7
Cross-multiplying, we get:
1.7x = 34 x 3
1.7x = 102
x = 60
Therefore, the height of the tree is 60 feet.