Home
Class 12
MATHS
The angle of elevation of the top of the...

The angle of elevation of the top of the tower observed from each of three points A,B , C on the ground, forming a triangle is the same angle `alpha.` If R is the circum-radius of the triangle ABC, then find the height of the tower R `tan alpha. `

A

`R sin alpha`

B

`R cos alpha`

C

`R cot alpha`

D

`R tan alpha`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE) LEVEL-II|7 Videos

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise EXERCISE 1:|3 Videos

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|10 Videos

  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

A pole 5 m high is fixed on the top of a tower. The angle of elevation of the top of the pole as observed from a point A on the ground is 60^(@) and the angle of depression of the point A from the top of the tower is 45^(@) . Find the height of the tower.

The angle of elevation of the top of a tower as observed from a point on the ground is a and on moving 'a' metres towards the tower, the angle of elevation is beta . Prove that the height of the tower is (a tanalphatanbeta)/(tanbeta-tanalpha) .

Knowledge Check

  • The angle of elevation of the top of the tower observed from each of the three points A,B,C on the ground, forming a triangle is the same angle alhpa . If R is the circum-radius of the DeltaABC , then the height of the tower is

    A
    `Rsinalpha`
    B
    `Rcosalpha`
    C
    `Rcotalpha`
    D
    `Rtanalpha`

  • The angle of elevation of the top of the tower observed from each of the three points A, B and C on the ground forming a triangle is same l.i.e. angle alpha if R is the circumradius of the DeltaABC , then the height of the tower is

    A
    `R sin alpha`
    B
    `R cos alpha`
    C
    `R cot alpha`
    D
    `R tan alpha`

  • The angle of elevation of the top of a hill from each of the verticles A,B,C of a horizontal triangle is alpha . The height of the hill is

    A
    b tan `alpha` cosec `beta`
    B
    `1/2` a tan `alpha` cosec `alpha`
    C
    `1/2c tan alpha cosec beta`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    From a point on the ground,the angle of elevation of the top of the tower is observed to be 60^(@). Form a point 40m vertically above the first point of observation,the angle of elevation of the top of the tower is 30^(@). Find the height of the tower and its horizontal distance from the point of observation

    The angle of elevation of the top of the tower standing on a horizontal plane from a point A is alpha . After walking a distance a towards the foot of the tower the angle of elevation is found to be beta . The height of the tower is

    The angle of elevation of the top of a tower at a distance of 120 m from a point A on the ground is 45^(@) . If the angle of elevation of the top of a flagstaff fixed at the top of the tower, at A is 60^(@) , then find the height of the flagstaff. [Use sqrt(3) = 1.732 .]

    If the angle of elevation of the top of a hill from each of the vertices A B C , and of a horizontal triangle is alpha . Then, the height of the hill is

    A pole of length 7 m is fixed vertically on the top of a tower. The angle of elevation of the top of the pole observed from a point on the ground is 60^(@) and the angle of depression of the same point on the ground from the top of the tower is 45 The height (in m) of the tower is:

    Home
    Profile