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Answer :
Final answer:
To find the height of the building, use trigonometry to set up an equation with the given angle and base length. Then solve for the height using tan(60 degrees).
Explanation:
To find the height of the building, we can use trigonometry. Since your view is 60 degrees to the top of the building, we can create a right triangle with the base of the building as the adjacent side, the height of the building as the opposite side, and the angle of 60 degrees as the angle of interest.
Using the tangent function, we can set up the equation: tan(60 degrees) = height/66 feet.
Solving for the height, we get: height = 66 feet * tan(60 degrees) = 66 feet * √3 ≈ 114.02 feet.
Therefore, the height of the building is approximately 114.02 feet.
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