12. The angles of elevation of the top of a vertical tower from two points 3 metres apart, and on the same straight line passing throug

Question

12. The angles of elevation of the top of a vertical tower from two points 3
metres apart, and on the same straight line passing through the base of
tower, are 30 and 60° respectively. The height of the tower is:
O
10 m
O 15 m
15 73 m
O 30 m​

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Mackenzie 7 days 2021-09-10T09:41:23+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-10T09:42:47+00:00

    Answer:

    10th

    Maths

    Some Applications of Trigonometry

    Heights and Distances

    The angles of elevation of …

    MATHS

    The angles of elevation of the top of a vertical tower from two points . 30 meters apart, and on the same straight line passing through the base of tower , are 30

    and 60

    respectively. The height of the tower is

    MEDIUM

    Help best friend

    Study later

    ANSWER

    Let AB is tower, the angles of elevation of the top of a vertical boobs tower AB from two points D and C are 30

    and 60

    respectively.

    CD= 30 metre

    Let the height of tower be h metres

    and BC=x m

    In triangle ABC,

    BC

    AB

    =tan60

    x

    h

    =

    3

    …..(i)

    In triangle ABD ,

    BD

    AB

    =tan30

    (x+30)

    h

    =

    3

    1

    or

    3h

    =x+30

    put value of x from equation (i) in equation (ii)

    we get

    3h

    =

    3

    h

    +30

    or

    3h

    3

    h

    =30

    or

    3

    2h

    =30

    ∴h=

    2

    30

    3

    =15

    3

    meteres

    So, height of the tower is 15

    3

    metre.

    0
    2021-09-10T09:43:11+00:00

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