Home
Class 12
MATHS
A tower stands at the centre of a cir...

A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that `A B""(=""a)` subtends an angle of `60^@` at the foot of the tower, and the angle of elevation of the top of the tower from A or B is `30^@` . The height of the tower is (1) `(2a)/(sqrt(3))` (2) `2asqrt(3)` (3) `a/(sqrt(3))` (4) `asqrt(3)`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|22 Videos

  • VECTOR ALGEBRA

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^(@) . The angle of elevation of

The angle of elevation of the top of a tower from a point 40 m away from its foot is 60^(@) . Find the height of the tower.

Knowledge Check

  • A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB(=a) subtends an angle 60^(@) at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30^(@) . The height of the tower is:

    A
    `(2a)/(sqrt(3))`
    B
    `2asqrt(3)`
    C
    `(a)/(sqrt(3))`
    D
    `asqrt(3)`

  • At a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ The height of the tower is

    A
    `20 sqrt(3) m`
    B
    `(20)/(sqrt(3))m`
    C
    `(sqrt(3))/(20m )`
    D
    None of these

  • From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^(@) . The height of the tower is

    A
    ` 10 sqrt(3) m`
    B
    `20 sqrt(3)` m
    C
    `10/sqrt(3)` m
    D
    `(20)/(sqrt(3))m`

    • Similar Questions

    Explore conceptually related problems

    A tower subtends and angle 60^(@) at a point A in the plane of its base and the angle of depression of the foot of the tower at a point 10 meters just above A is 30^(@). The height of the tower is

    At a point 20 m away from the foot of a tower the angle of elevation of the top of the tower is 30^(@) The height of the tower is

    A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB(=alpha) subtends an angle of elevation of the top of the first tower from A or B is 30^@ . The height of the tower is

    From 40 m away from the foot of a tower , the angle of elevation of the top of the tower is 60^(@) .What is the height of the tower ?

    80 m away from the foot of the tower, the angle of elevation of the top of the tower is 60^@ . What is the height (in metres) of the tower?

    Home
    Profile