Question
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 at a height of 1200√3
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 at a height of 1200√3
m. find the speed of the aeroplane.
Distance between two place in which angle change is D = n(cotθ₁ + cotθ₂) Distance = 1200√3 (cot30° + cot60°) = 1200√3 × √3 - 1/√3 = 1200√3 ×2/√3 = 2400 m So, distance covered by plane in 12 sec = 2400 m Speed of plane = 2400/12 = 200 m/sec.More Height and Distance Questions
- 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...
- 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.
- 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...
- The angle of depression of a point on the ground as seen from the top of a tower, 20 feet high, is 45°. Find the distance of the point on the ground from t...
- From a watch tower of 205 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...
- 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...
- 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...
- 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...
- A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 15 metres . From the top of the pole the angle of elevati...
- From the top of a tower, the angle of depression of a car on the ground is 30°. After the car moves 40 m towards the tower in a straight line, the angle of...
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)