1) The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal plane is found to be 60 degree

Question

1) The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal
plane is found to be 60 degree. Find the height of the building.​

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Parker 2 weeks 2021-10-03T19:24:19+00:00 1 Answer 0

Answers ( )

    0
    2021-10-03T19:25:51+00:00

    Answer:

    the height of the building is 86.6m

    Step-by-step explanation:

    In the right triangle, the height which we are looking for is the opposite side, since it is opposite to the angle 60°

    Now we need to find the height of the building

    tanθ = Opposite side/Adjacent side

    tan 60° = Opp side/Adj side

    1.7321 = Opp side/50

    1.7321 x 50 = Opp side

    Opp side = 50 x 1.7321

    Opp side = 86.6 m

    Therefore, the height of the building is 86.6m.

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