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3 April, 00:54

ou are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 123 meters above the 86th floor, what is the total height of the building?

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  1. 3 April, 02:35
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    443.2m

    Step-by-step explanation:

    Given in the question that,

    distance from building to me = 45m

    angle of elevation = 82°

    building is 123 m + x m high

    If we closely observe then this situation make a right angle triangle and we will use trigonometry identity to solve the question.

    Step 1

    tan (82) = y / 45

    y = 45tan (82)

    y = 320.2 m

    Step 2

    Hence the height of building is y + 123m. So, plug the value of y in this

    320.2 + 123 = 443.2
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