Question
A long metallic cable is stretched from a point P on the ground to the top of a cliff, forming an angle of 30 ° with the horizontal ground. The total length of the cable is 450 √3 meters. Determine the horizontal distance between point P and the base of the cliff.
In the given figure, let 'A' and 'B' represent the foot and the top of the cliff, respectively. In right rPAB, cos30o = (AP/PB) Or, (√3/2) = (AP/450√3) So, PA = (450√3) X (√3/2) = 675 metres Therefore, distance between point 'P' and the foot of the cliff is 675 metresMore Height and Distance Questions
- From a point 20 m away from the foot of a pole, the angle of elevation of the top of the pole is 60 degrees. Find the height of the pole.
- The angle of elevation of an aeroplane from a point on the ground is 60°. After 12 seconds flight the elevation changes to 30°, if the aeroplane is flying ...
- The distance between two parallel poles is 65√3 m. The angle of depression of the top of the second pole when seen from the top of first pole is 30°. What ...
- The angle of elevation of the top of a building from a point on the ground is 30° and moving 40 meters towards the building it becomes 60°. The height of t...
- A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of th...
- From a point 30 m away, the angle of elevation of top of tower is 45°. Find height of tower.
- The angle of depression of a point on the ground as seen from the top of a tower, 35 feet high, is 45°. Find the distance of the point on the ground from t...
- From a point on level ground, the angle of elevation of the top of a vertical tower is 30°. On moving 30 m closer to the tower, the angle of elevation beco...
- Two ships are on opposite sides in front of a lighthouse in such a way that all three of them are in line. The angles of depression of two ships from the t...
- At a point 20 metres away from the base of a 20√3, metres high house, the angle of elevation of the top is
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)