The ratio of the height of the tree to the length of the shadow of the tree
is given by the ratio of the height of the frame to its shadow.
Response:
The given information are;
The distance from the tree to the other side of the chasm = 18 + 36 = 54
Length of the shadow cast by the tree = 54 feet
Height of the frame = 55-inch
Length of the shadow created by the frame = 77 inches
By similar triangles, have;
[tex]\dfrac{Height \ of \ frame}{Length \ of \ shadow \ created \ by \ frame} = \mathbf{\dfrac{Height \ of \ tree}{Length \ of \ shadow \ created \ by \ tree}}[/tex]
Which gives;
[tex]\dfrac{55}{77} = \mathbf{\dfrac{Height \ of \ tree}{54}}[/tex]
[tex]Height \ of \ tree = \dfrac{55}{77} \times {54} \approx \mathbf{39}[/tex]
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