To find: The height of taller tree.
The height of taller tree is 95 ft.
The distance between taller tree and smaller tree is 125 ft.
The height of man is 5ft and the height of smaller tree is 20 ft.
Distance between man and smaller tree is 25 ft.
Let the height of taller tree be x. For a pair of similar triangles the ratios of corresponding sides are equal.
Tabulate the given information into the language of algebra.
|In words||In Algebra|
|Height of taller tree||x|
|Base of large triangle|
|Ratio of height to base in large triangle|
|Ratio of height to base in small triangle|
Model the equation for the above information.
Simplify the above equation for x,
Thus, the height of taller tree is 95 ft.
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