Question
The angle of elevation of an aeroplane from a point on the ground is 60°. After 20 seconds flight the elevation changes to 30°, if the aeroplane is flying at a height of 3000√3
The angle of elevation of an aeroplane from a point on the ground is 60°. After 20 seconds flight the elevation changes to 30°, if the aeroplane is flying at a height of 3000√3
m. find the speed of the aeroplane.
Distance between two place in which angle change is D = n(cotθ₁ + cotθ₂) Distance = 3000√3 (cot30° + cot60°) = 3000√3 × √3 - 1/√3 = 3000√3 × 2/√3 = 6000 m So, distance covered by plane in 20 sec = 6000 m Speed of plane = 6000/20 = 300 m/sec.More Height and Distance Questions
- The length of the shadow of a vertical tower increases by 8 m on horizontal ground when the height of the sun changes from 45° to 30 ° , then find the heig...
- A boat is being rowed away from a cliff 183 m high. From the top of the cliff, the angle of depression of the boat changes from 60° to 45° in 3 minutes. Wh...
- 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 30 m away, the angle of elevation of top of tower is 45°. Find height of tower.
- A pole 9√3 m high casts a shadow 27 m long on the ground. Find the angle of elevation
- From a watch tower of 150 m height, the angles of depression of two cliffs in a horizontal line through the base of the tower are 45° and 30°. Find the dis...
- A shadow of a tower standing on level ground is found to be 40√3 meters longer when the Sun's altitude is 30° than when it is 60°. The height of the tower ...
- At a point 20 metres away from the base of a 20√3, metres high house, the angle of elevation of the top is
- There is a fire in the building. A man on the top of the building see a Fire brigade van coming towards it. If it takes 8 minutes for the angle of depressi...
- From the top of a straight pillar 20 meters high, the angle of elevation of the top of a straight tower was 45°. If the tower was 70 meters high, then at w...
Relevant for Exams:
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)