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Assuming that the lighthouse is perpendicular to the ground (it does not lean at all), the lighthouse and the ground will form a right angle (90 degrees). For right triangles, when you know the length of two sides of the triangle, you can use the pythagorean theorem to calculate the third side. Pythagorean Theorem = a2 + b2 = c2 Where a and b represent the sides of the triangle adjacent to the right angle (in this case the height of the lighthouse and the length of the shadow) and c represents the hypotenuse (in this case the distance from the top of the lighthouse to the top of the shadow). 1252 + 1402 = c2 15625 + 19600 = c2 35225 = c2 187.68 = c (Take the square root of both sides to get c by itself) The distance from the top of the lighthouse to the top of the shadow is about 187.7 feet.

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Q: A lighthouse that is 125 feet tall casts a 140- foot shadow on the surface of the water what is the distance from the top of the lighthouse to the top of the shadow?
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