30 meter building casts a shadow the distance from the top of the building to the tip of the shadow is 37 m find the length of the shadow

 22 meters

Step-by-step explanation:

Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters.  Use the Pythagorean Theorem to find the base (the length of the shadow).

a² + b² = c²

x² + 30² = 37²

x²          = 37² - 30²

x²          = 1369 - 900

x²          = 469

√x²       = √469

        x = 21.656

        x ≈ 22

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