Question
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 elevation of the top of the tower and angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is:
AB = Pole CE = Tower AB = 15 m In ∆ABE tan30° = AB/BE 1/√3 = AB/BE 1/√3 = 15/BE BE = 15√3 m AD = BE = 15√3 In ∆ACD tan60° = CD/AD ⇒ √3 = CD/(15√3) ⇒ CD = 45 CD + DE = 45 + 15 ⇒ 60 mMore Height and Distance Questions
- From a point on the ground, the angle of elevation of the top of a tower is 30 degrees. After moving 10√3 m towards the tower, the angle becomes 60 degrees...
- A tree stands tall with a height of 54 meters. From a point 'x' meters away from its base, the angle of elevation to the top of the tree is 60°. Determine ...
- 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 ...
- In the village of Hazelton, there was a totem pole 50 m high of which the lower 24 m was carved. According to a clue the treasure was hidden at a point on ...
- From a point 30 m away, the angle of elevation of top of tower is 45°. Find height of tower.
- From a point on the ground, the angle of elevation of the top of a tower is 45°. On walking 20 m towards the tower, the angle of elevation becomes 60°. Fin...
- A man 1.5 m tall is 22.5 m away from a tower 24 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.
- From a point 'P' on level ground, the angle of elevation to the top of a tower 60 metres tall is 45⁰. Calculate the shortest distance from point 'P' to the...
- 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 point on the ground, the angle of elevation of the top of a tower is 30°. After moving 20 m closer to the tower in a straight line, the angle of ele...
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)