The height of the pole is 21 meters if the flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 35 meters long and the shadow is 28 meters.
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
From the Pythagoras theorem:
[tex]\rm Hypotenuse^2 = Perpendicular^2+ Base^2[/tex]
We have Hypotenuse = 35 meters
Shadow length(Base) = 28 meters
Perpendicular = height of the flag pole = x meters
[tex]\rm 35^2 = x^2+ 28^2[/tex]
After solving, we will get:
x = 21 meters
Thus, the height of the pole is 21 meters if the flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 35 meters long and the shadow is 28 meters.
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brainly.com/question/3770177
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