Home
Class 10
MATHS
The angle of elevation of the top Q of a...

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is `60^(@)`. From a point Y, 40 m vertically above X, the angle of elevation of the top Q of tower is `45^(@)`. Find the height of the tower PQ and the distance PX. (Use `sqrt3=1.73`).

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the information given about the angles of elevation and the distances involved. ### Step 1: Understand the Problem We have a vertical tower PQ, with point X on the ground and point Y, which is 40 m above X. The angle of elevation from X to the top of the tower (point Q) is 60 degrees, and from point Y, the angle of elevation to Q is 45 degrees. We need to find the height of the tower PQ and the distance PX. ### Step 2: Set Up the Diagram 1. Draw the vertical tower PQ. 2. Mark point X on the ground and point Y, which is 40 m above X. ...
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|32 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|5 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60^@ .From a point y 40 m vertically above X, the angle of elevation the top Q of tower is 45^@ .Find the height of the tower PQ and the distance PX.(Use sqrt3=1.73 )

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60^@ .From a point y 40 m vertically above X, the angle of elevation the top Q of tower is 45^@ .Find the height of the tower PQ and the distance PX.(Use sqrt3=1.73 )

The angle of elevation of the top of a vertical tower P Q from a point X on the ground is 60o . At a point Y , 40m vertically above X , the angle of elevation of the top is 45o . Calculate the height of the tower.

The angle of elevation of the top of a vertical tower P Q from a point X on the ground is 60o . At a point Y , 40m vertically above X , the angle of elevation of the top is 45o . Calculate the height of the tower.

The angle of elevation of the top of a vertical tower from a point on the ground is 60°. From another point 10 m vertically above the first, its angle of elevation is 30°. Find the height of the tower.

The angle of elevation of the top of a vertical tower from a point on the ground is 60°. From another point 10 m vertically above the first, its angle of elevation is 30°. Find the height of the tower.

The angle of elevation of the top of a vertical tower a point on the ground is 60^(@) From another point 10 m vertical above the first, its angle of elevation is 45^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 45 m towards the tower, the angle of elevation becomes 45^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 40sqrt3 m towards the tower, the angle of elevation becomes 60^(@) . Find the height of the tower.

From a point on the ground, 20m away from the foot of a vertical tower, the angle of elevation of the top of the tower is 60^@ , what is the length of the tower?