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

The angle of elevation of the top of a vertical tower from a point A due east of it is `45^@`. The angle of elevation of the top of the same tower from a point B due south of A is `30^@`. If the distance between A and B is `54sqrt2` m then the height of the tower (in metres), is

A

108

B

`36sqrt(3)`

C

`54sqrt(3)`

D

54

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle of elevation of top of a vertical tower from a point A, due east of it is (pi)/(4) . The angle of elevation of top of same tower from a point B, due south of A is (pi)/(6) , If AB=27(2^(3/2)) , then height of the tower is h, then the value of sqrt(2)h is

The angle of elevation of the top of a tower from a point 20 m away from its base is 45^(@). What is the height of the tower?

The angle of elevation of the top of a tower at a point on the ground is 30o .What will be the angle of elevation,if the height of the tower is tripled?

The angle of elevation of the top of a tower form a point 20 m away from its base is 45^(@) . What is the height of the tower?

The angle of elevation of top of the tower from a point P on the ground is 30^(@) . If the points is 45 m away from the foot of the tower , then the height of the tower is

If the angle of elevation of the top of a tower from a point distant 100 m from its base is 45^(@) , then find the height of the tower.

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@). The distance between the two towers is m times the height of the shorter tower. What is m equal to ?

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^@ and the angle of elevation of the top iof the second tower from the foot of the first tower is 30^@ . The distance between the two towers isntimes the height of the shorter tower. What is nequal to?

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@) . Find the distance between the two and also the height of the tower.