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The length of a shadow of a building is 75 feet when the sun is 56° above the horizon find the height of the building round your answer to the nearest 10th

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mhanifa

Answer:

  • The height of the building is 111.2 feet

Step-by-step explanation:

According to the question we have a right triangle with:

  • Horizontal leg of 75 feet,
  • Angle opposite to vertical leg is 56°.

Use trigonometry to find the vertical leg h, the height of the building:

  • tangent = opposite leg / adjacent leg
  • tan 56° = h/75
  • h = 75 tan 56°
  • h = 111.2 feet (rounded)

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