The distance d is 19.2 meters.
What is Pythagoras theorem?
The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The model forms a right angle triangle with the model given as
r = [tex]\sqrt{h^{2} -d^{2} }[/tex]
From the question we were asked to find d when r = 25 meters and the
h = 16 meters.
Make d the subject of the formula
r = [tex]\sqrt{h^{2} -d^{2} }[/tex]
square both sides
r² = h² + d²
d² = r² - h²
where
r = 25 m
h = 16 m
d² = r² - h²
d² = 25² - 16²
d² = 625 - 256
d² = 369
square root both sides
d = [tex]\sqrt{369}[/tex]
d = 19.2 meters
Hence, the distance d is 19.2 meters.
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