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When the angle of elevation to the sun is 49°, Naomi's shadow is 5 feet long. The
shadow of a nearby tree is 8 times as long as her shadow. How tall is the tree to the
nearest foot?

Respuesta :

mhanifa

Answer:

  • 46 feet

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The height h of the tree is opposite to 49° angle of a right triangle with the other leg:

  • 5*8 = 40 feet long

Use tangent to find the value of h:

  • tangent = opposite/adjacent
  • tan 49° = h/40
  • h = 40*tan 49°
  • h = 46 feet (rounded)

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