Question

A flagpole 24 meters high casts a shadow 33 meters long.

What is the distance between the tip of the shadow and
flagpole? Round your answer to the nearest meter.

Enter the answer
ASAP PLEASE THANK YOU

Answer 1

`\boxed{41\;meters}`

Explanation:

The flagpole, the shadow and the line connecting the tip of the shadow to the top of the flagpole construe a right-angle triangle with the flagpole and shadow being the legs of the triangle and the other the hypotenuse

Given flagpole height is 24 meters and shadow is 33 meters we can compute the third side using the Pythagorean Theorem for the hypotenuse:

`c = \sqrt{a^(2) + b^(2)}`

Substituting known values we get

`c = \sqrt{24^(2) + 33^(2)}\\\\c = √(576 + 1089)\\\\c = √(1665)\\\\c=40.804 \;meters`

Rounded to the nearest meter this would be 41 meters