The height of the bird feeder is 17 ft
The length of the shadow of the bird feeder is 8.5 ft
The situation forms a right angle triangle
Right angle triangle are triangle with one of its angles as 90 degrees.
The bird feeder stands perpendicular to the ground. This means it forms 90 degrees with the ground.
The shadows length is the adjacent side of the triangle formed.
The distance between the top of the bird feeder and the top of the shadow is the hypotenuse side.
The height of the feeder is the opposite side of the triangle formed.
Therefore,
let
the height of the bird feeder = x
length of shadow of the bird feeder = 0.5x
Therefore, using Pythagoras theorem
x² + 0.25x² = 361
1.25x² = 361
square root both sides
√1.25x² = √361
1.11803398875x = 19
x = 19 / 1.11803398875
x = 16.9946332737
x = 17 ft
height of bird feeder = 17 ft
length of the shadow = 17(0.5) = 8.5 ft
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