Home
Class 11
MATHS
The angle of elevation of the top of a t...

The angle of elevation of the top of a tower standing on a harzontal plane from the two points lying on a line passing through the foot of the tower at distances a and b respectively are complementary angles. If the line joining the two points sutends an angle `theta` at the top of the tower, then `sintheta` is

A

`(a+b)/(a-b)`

B

`(a-b)/(a+b)`

C

`(b-a)/(a+b)`

D

`(a)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-I) (Straight Objective Type Questions)|39 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower from a point situated at a distance of 100 m from the base of tower is 30 degrees. find the height of the tower is

The angles of elevation of the top of a tower from two points at a distance of 4m and 9m, find the height of the tower from the base of the tower and in the same straight line with it are complementary.

Knowledge Check

  • If the angles of elevation of the top of a tower from three collinear points A,B and C, on a line leading to the foot of the tower, are 30^(@), 45^(@) and 60^(@) respectively, then the ratio, AB : BC, is

    A
    `sqrt3: 1`
    B
    `sqrt3 : sqrt2`
    C
    `1: sqrt3`
    D
    ` " 2 : 3 "`

  • If the angles of elevation of the top of a tower from three collinear points A, B and C on a line leading to the foot of the tower, are 30^(@) , 45^(@) and 60^(@) respectively, then the ratio, AB : BC, is

    A
    `sqrt(3) : 1`
    B
    `sqrt(3) : sqrt(2)`
    C
    `1 :sqrt(3)`
    D
    `2 : 3`

  • The angles of elevation of the tops of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60^@,30^@ respectively. The ratio of the heights of the towers is

    A
    `2:1`
    B
    `sqrt3:1`
    C
    `3:2`
    D
    `3:1`

    • Similar Questions

    Explore conceptually related problems

    The angle of elevation of the top of a tower from a point on the ground, which is 50 m away from the foot of the tower is 45^@ . Draw the diagram for the situation.

    The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Find the height of the tower

    The angle of elevation of the top of a tower from a point O on the ground, qhich is 450 m away from the foot of the tower, is 40^(@) . Find the height of the tower.

    The angle of elevation of the top of a tower from a point of the ground which is 30 m away from the foot of a tower of heigh 10 sqrt 3 m is…………

    The angle of the elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it, are complementary. Prove that the height of the tower is 6m.

    Home
    Profile