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prohojiy [21]
3 years ago
11

a lamppost casts a shadow that is 24 feet long. Tad,who is 6 feet tall, is standing directly next to the lamppost. His shadow is

15 feet long. How tall is the lamppost?
Mathematics
1 answer:
Fantom [35]3 years ago
7 0

The lamppost and Tad create similar right triangles. Set up a proportion comparing their equivalent sides.


\frac{lamppost height}{lamppost shadow}= \frac{tad height}{tad shadow}


\frac{x}{24} = \frac{6}{15}


Crossmultiply to solve.


24*6 = 15*x

144 = 15x

x = 9.6 feet



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