13) Thales was an ancient philosopher familiar with similar triangles. One story about him says that
he found the height of a pyramid by measuring its shadow and his own shadow at the same time.
If the person is 5 ft tall, what is the height of the pyramid in the drawing?

Respuesta :

Answer:

265 ft.

Step-by-step explanation:

x/5 = 318/6

6x = 1590

x = 265 ft

  Height of the pyramid given in the picture is 265 feet.

   Given question is incomplete without figure. Find the figure attached with the question.

Similarity theorem for two similar triangles, "If corresponding sides of two sides are proportional, triangles will be similar."

 By applying similarity theorem in the triangles ΔABC and ΔDEF,

[tex]\frac{AB}{DE}= \frac{BC}{EF}[/tex]

[tex]\frac{AB}{318}=\frac{5}{6}[/tex]

AB = [tex]\frac{5\times 318}{6}[/tex]

AB = 265 feet

    Therefore, pyramid given in the drawing is 265 feet tall.

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