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If a 25-foot-tall house casts a 75-foot shadow at the
same time that a streetlight casts a 60-foot shadow,
how tall is the streetlight?
The streetlight is
tall. (include units in your answer.)



Answer :

GinnyAnswer
The relationship between the height of an object and the length of its shadow can be understood using similar triangles. In this scenario, the house and the streetlight are forming similar triangles with their shadows. Here's how you can find the height of the streetlight: 1. Set up a proportion using the heights and shadows: - House height : House shadow = Streetlight height : Streetlight shadow - 25 feet : 75 feet = Streetlight height : 60 feet 2. To find the height of the streetlight, you can cross multiply: - 25 * 60 = 75 * Streetlight height 3. Solve for the streetlight height: - 1500 = 75 * Streetlight height - Divide both sides by 75 to isolate Streetlight height: - Streetlight height = 1500 / 75 - Streetlight height = 20 feet Therefore, the streetlight is 20 feet tall.

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