Home
Class 10
MATHS
From the top of a 7m high building, the ...

From the top of a 7m high building, the angle of elevation of the top of a cable tower is `60^(@)` and the angle of depression of its foot is `45^(@)`. Determine the height of the tower.

Text Solution

AI Generated Solution

To solve the problem, we need to determine the height of the cable tower given the height of the building and the angles of elevation and depression. Here’s a step-by-step solution: ### Step 1: Understand the Problem We have a building that is 7 meters high. From the top of this building, we observe a cable tower. The angle of elevation to the top of the tower is \(60^\circ\), and the angle of depression to the foot of the tower is \(45^\circ\). ### Step 2: Draw a Diagram 1. Draw a vertical line representing the building (AB) which is 7 meters high. 2. Draw a horizontal line from the top of the building (point A) to the right. ...
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

From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60^o and the angle of depression of its foot is 45^o . Determine the height of the tower.

From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60o and the angle of depression of its foot is 45o . Determine the height of the tower.

From the top of a 7 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of the foot of the tower is 30°. Find the height of the tower.

A vertical pole and a vertical tower are on the same level ground in such a way that from the top of the pole the angle of elevation of the top of the tower is 60^(@) and the angle of depression of the bottom of the tower is 30^(@) . Find : the height of the tower, it the height of the pole is 20 m ,

A vertical pole and a vertical tower are on the same level ground in such a way that from the top of the pole the angle of elevation of the top of the tower is 60^(@) and the angle of depression of the bottom of the tower is 30^(@) . Find : the height of the pole, if the height of the tower is 75 m

From the top of a cliff 25 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is (a) 25 m (b) 50 m (c) 75 m (d) 100 m

The angle of elevation of the top of a tower. from a point on the ground and at a distance of 160 m from its foot, is fond to be 60^(@) . Find the height of the tower .

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30^@and 60^@ respectively. The height of the tower is

From a point on the ground 40m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ . The angle of elevation of the top of a water tank (on the top of the tower) is 45^@ . Find the (i) height of the tower (ii) the depth of the tank.

The angle of elevation of the top of a tower from a point on the ground, which is 40 m away from the foot of the tower is 30^(@) . Find the height of the tower.