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Emily is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 26.05 meters. She stands 20.6 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Respuesta :

Answer:

6.93 meters

Step-by-step explanation:

Use similar triangles to solve

if the tree shadow is 26.05m  long and she stands 20.6 meter away from the tree, so her shadow meets the tip, her shadow is 26.05-20.6 = 5.45

height of Emily divided by shadow of Emily must equal height of tree divided by shadow of Tree

1.45 /5.45=x/26.05

26.05 x (1.45/4.45)=x

x= 6.93

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