An observer 1.7m tall, is 20√3 m away from a tower. The angle of elevation from
the eye of the observer to the top of the to

An observer 1.7m tall, is 20√3 m away from a tower. The angle of elevation from
the eye of the observer to the top of the tower is 300
. Find the height of the tower

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Isabella

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  1. Step-by-step explanation:

    Let AB be the height of the tower and DE be the height of the observer.

    Then,

    In Δ ACD ,

    AC/DC = tan 30°

    ⇒ x/√30 = tan 30° = 1/√3

    ⇒ x = 20 m

    AB = 20 m + 1.7 m

    = 21.7 m

    So, the height of the tower is 21.7 m

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