SOLUTION: A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long. The triangle shown for the tree and its shadow is similar to the triangle shown for th

Question 759001: A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft tall, how tall is the tree?

Answer by malglu(63) (Show Source): You can put this solution on YOUR website!
with similar triangles the ratios of the corresponding sided will be equal. thus if the boys shadow is 2.5ft an dthe trees shadow is 10ft then the ratio is
2.5/10 which is 1/4
we know the boy is 5ft, so the tree will need to be 4 times as large, and thus is 20ft.
RELATED QUESTIONS
a 5-ft tall girl casts a shadow 8 ft. long. she is standing next to a tree that casts a... (answered by checkley77)

how high is a tree that casts a 33 ft shadow at the same time a 5 ft pole casts a shadow... (answered by lwsshak3)

A 4-ft fence post casts a shadow 9-ft long at the same time a tree casts a 52-ft shadow.... (answered by solver91311)

A 5.5-ft boy casts a shadow that is 8.25 feet long. A nearby tree casts a shadow that is... (answered by CubeyThePenguin)

a tree casts a shadow 45 ft long, when a 6 foot person casts a shadow 4 feet long, how... (answered by solver91311)

A tree casts a 30 foot shadow. Mi ling, standing next to the tree, casts a 13.5... (answered by checkley79)

A tree casts a shadow which is 3m long. Another tree standing next to it, estimated to be (answered by josgarithmetic,MathTherapy)

A tree casts a shadow x = 80 ft long when a vertical rod 6.0 ft high casts a shadow 4.0... (answered by josgarithmetic)

A tree casts a shadow 7.5 ft long at the same time that a woman 5 ft tall casts a shadow... (answered by Edwin McCravy,2897696)