Use similar triangles to solve. a person who is 5 feet tall is standing 99 feet from the base of a​ tree, and the tree casts a 110 foot shadow. the​ person's shadow is 11 feet in length. what is the height of the​ tree?

Respuesta :

This problem is about ratios.

[tex] \frac{height}{shadow} = \frac{5ft \:}{11ft} = \frac{x}{110} [/tex]

Solve for X

[tex]x = \frac{5 \times 110}{11} = 50ft [/tex]

The tree is 50ft tall.

The height of the tree is 50 ft tall.

Given that,

  • A person who is 5 feet tall is standing 99 feet from the base of a​ tree, and the tree casts a 110 foot shadow.
  • The​ person's shadow is 11 feet in length.

Based on the above information, the calculation is as follows:

[tex]= 5\times 110 \div 11[/tex]

= 50 ft

Therefore we can conclude that The height of the tree is 50 ft tall.

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