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

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Rios

Mathematics

26 November, 18:54

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

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Nikolai Branch · 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.