MaddynO702108 MaddynO702108
  • 27-10-2022
  • Mathematics
contestada

A 12 foot pole casts a shadow of 16 feet. What is the distance between the end of the shadow and the top of the pole?

Respuesta :

SaishK579448 SaishK579448
  • 27-10-2022

Answer:

20 feet

Explanation:

We can represent the situation with the following figure

So, we need to find the distance d between the end of the shadow and the top of the pole. Using the Pythagorean theorem where 12 and 16 are the legs and d is the hypotenuse, we get:

[tex]\begin{gathered} d=\sqrt[]{12^2+16^2} \\ d=\sqrt[]{144+256} \\ d=\sqrt[]{400} \\ d=20 \end{gathered}[/tex]

Therefore, the distance is 20 feet.

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