Question

tonya is 1.3 meters tall. she stands 7 meters in front of a tree and casts a shadow of 1.8 meters long. how tall is the tree

Answer 1

The tree is 6.36 meters tall.

Explanation: Let AB is tree of height h t = ? and CD is Tonya h g = 1.3 meter tall at A C = 7 meters in front of tree . The shadow C E = 1.8 meters long . So two similar triangles are formed , one Δ A E B and other Δ C E D . So A B C D = A E C E or h t h g = A E A C or h t h g = A C + C E AC or h t 1.3 = 7 + 1.8 1.8 or h t = 8.8 ⋅ 1.3 1.8 ≈ 6.36 ( 2 d p )m

The tree is 6.36 meter tall.