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 the top of a lighthouse, the angle of depression to the top and bottom of a tower is 30° and 45°, respectively. If the lighthouse is 210 metre...
- 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 30o....
- If distance between two pillars of length 9 & 4 cm is x cm. If two angle of elevation of their respective top from a point on ground of other are complemen...
- The shadow of a pole 24m long is 56m. Then what will be the approximate shadow of building 40m high at the similar situation?
- At a point 20 metres away from the base of a 20√3, metres high house, the angle of elevation of the top is
- A tree breaks due to a storm and the top touches the ground 30 meters away from its base, making a 30-degree angle with the ground. What was the height of ...
- From a point A on the ground, the angle of elevation of the top of a tower is 30°. From another point B, which is 20 m closer to the tower along the same s...
- Raju is positioned 30 meters away from the base of a tower. From his standing point, the angle of elevation to the top of the tower is 45°. Determine the h...
- There are two houses of the same height on both sides of a 30-meter wide road. From a point on the road, elevation angles of the houses are 30° and 60&...
- From a point situated at some distance from the base of a pillar, the angle of elevation of the top of the pillar is found to be 45 degrees. After walking ...
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
