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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?

Respuesta :

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


[tex] \frac{lamppost height}{lamppost shadow} [/tex]= [tex] \frac{tad height}{tad shadow} [/tex]


[tex] \frac{x}{24} [/tex] = [tex] \frac{6}{15} [/tex]


Crossmultiply to solve.


24*6 = 15*x

144 = 15x

x = 9.6 feet