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Michelle is 60 feet away from a building. The angle of elevation to the top of the building is 41°. How tall is the building?

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Answer:

We can use trigonometry to solve this problem. The angle of elevation is the angle between the horizontal line and the line of sight from the observer to the top of the building.

We are given the angle of elevation (41°) and the distance from the observer to the building (60 feet).

We can use the tangent function to find the height of the building:

tan(41°) = height / 60

To find the height of the building we can multiply both sides of the equation by 60:

height = tan(41°) * 60

The height of the building is approximately 41.56 feet

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