Angle of elevation from a point 64 meters from the base of a building to the top of the building is 35o . Find the height of the building.

Question

Angle of elevation from a point 64 meters from the base of a building to the top of the building is 35o . Find the height of the building.

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Thu Giang 3 weeks 2021-08-25T19:43:22+00:00 1 Answers 0 views 0

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    2021-08-25T19:45:12+00:00

    Answer:

    44.81m

    Step-by-step explanation:

    The set up is right angled

    Given the following

    Angle of elevation = 35°

    Distance from base of building = 64m = adjacent

    Height of the building = opposite

    Using the SOH CAH TOA identity

    Tan theta = opp/adj

    tan 35 = x/64

    x = 64tan35

    x = 64(0.7002)

    x = 44.81m

    hence the height of the building is 44.81m

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