Home
Class 12
MATHS
From the top and bottom of a building of...

From the top and bottom of a building of height h metres, the angles of elevation of the top of a tower are ` alpha and beta` respectively. Then the height of the tower is :

A

`(h cos alpha sin beta)/(sin (beta - alpha ))`

B

`(h cos beta sin alpha )/(sin (beta - alpha ))`

C

`(h cos alpha sin beta)/(sin (beta+ alpha ))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATION|2 Videos
  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos
  • HYPERBOLA

    MODERN PUBLICATION|Exercise Recent Competitive Questions|5 Videos

Similar Questions

Explore conceptually related problems

If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

The angle of depression of the top of a tower at a point 70mts from the base is 45^(circ) , Then the height of the tower is

The angle of depression of the top and bottom of a building 7 m tall from the top of a tower is 45^(@) and 60^(@) respectively. Find the height of the tower in metres.

The angle of elevation of the sun, if the length of the shadow of a tower is sqrt(3) times the height of the tower is

The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50 m high, find the height of the building.

The angle of elevationof the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50m high, find the height of the building.

The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the height of the tower is 50 m, what is the height of the hill?

If the angles of depression of the upper and lower ends of a lamp post from the top of a hill of height h metres are alpha and beta respectively, the height of the lamp post (in metres) is