The angle of elevation to the top of a building in New York is found to be 19 degrees from the ground at a distance of 1 mile from the base

Question

The angle of elevation to the top of a building in New York is found to be 19 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. (Round your answer to four decimal places.)

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Isabella 2 weeks 2022-01-12T17:21:11+00:00 1 Answer 0 views 0

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    2022-01-12T17:22:22+00:00

    Answer:

    1818.0498 feet

    Step-by-step explanation:

    The angle of elevation to the top of a building in New York is found to be 19 degrees from the ground at a distance of 1 mile from the base of the building.

    the angle of elevation is 19 degree

    base is 1 miles

    1 mile =5280 feet

    it forms a right angle triangle . Let x be the height of the building

    tan(theta)=\frac{opposite}{adjacent} \\tan(19)=\frac{x}{5280} \\x=5280 \cdot tan(19)= 1818.05

    height of the building is 18.18.0498 feet

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