From the window 20 feet above the ground, the angle of the elevation to the the top of a building across the street is 78 degrees, and the angle of depression to the bse of the same building is 15 degrees. Find the height of the building across the street.

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From the window 20 feet above the ground, the angle of the elevation to the the top of a building across the street is 78 degrees, and the angle of depression to the bse of the same building is 15 degrees. Find the height of the building across the street.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1443588991504:dw| Then, The height of the building: \(h = 20 + (20/tan15)*tan78 \) h = 20 + 351.16 h = 371.16 ft @sloppycanada \(\color{blue}{\huge\tt{Nice~}}\) \(\huge\mathcal{to~meet~}\) \(\color{red}{\huge\tt{You~!}}\)