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A flagstaff stands in the centre of a rectangular field whose diagonal is 120 m. It subtends angles of `15^@` and `45^@` at the midpoints of the sides of the field. The height of the flagstaff is

A

200 m

B

`300 sqrt(2 + sqrt(3))` m

C

`300 sqrt(2 - sqrt(3))` m

D

400 m

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A flagstaff stands in the centre of a rectangular field whose diagonal is 1200 m and subtends angle 15^(@) and 45^(@) at the mid points of the sides of the field. The height of the flagstaff is

    A
    200m
    B
    `300sqrt(2+sqrt(3))m`
    C
    `300sqrt(2-sqrt(3))m`
    D
    400 m

  • A pole stands at the centre of a rectangular field and it subtends angles of 15^(@) and 45^(@) at the mid-points of the sides of the field. If the length of its diagonal is 1200 m, then the height of the flag staff is

    A
    400 m
    B
    200 m
    C
    `300sqrt(2-sqrt(3))m`
    D
    `300sqrt(2)-sqrt(3))m`

  • One side of a rectangular field is 9 m and one of its diagonal is 20 m. Find the area of the field.

    A
    `9 sqrt(319) sq m`
    B
    `7 sqrt(319) sq m`
    C
    `2 sqrt(319) sq m`
    D
    `5 sqrt(319) sq m`

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