Question

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

Answer 1

• The height of the building is 111.2 feet

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)