Question
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 the ground such that the carved and the uncarved portion of the totem pole subtend equal angles. How far away from the pole should the digging be done in order to be rich?
Total height = 50 m tan α = 24/x tan2 α = 50/x tan2 α = 2tan α /(1 - tan2 α ) 50/x = 2*24/x/{1−(24/x)2} ⇒ 50(x2−576)=48x2 ⇒ 2x2=28800 ⇒ x 2 =14400 or x=120m More Height and Distance Questions
- 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...
- From a point on the ground, the angle of elevation of the top of a tower is 30 degrees. After moving 20 m towards the tower, the angle becomes 60 degrees. ...
- The angle of elevation of the top of a building from the foot of a tower is 30° and the angle of elevation of the top of the tower from the foot of the bui...
- The shadow of a pole 24m long is 56m. Then what will be the approximate shadow of building 40m high at the similar situation?
- 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 metres high, ...
- The angle of elevation of a tower from a certain point of bus stand is 30°. When a man walks 5m ahead in the direction of the tower, the angle of elevatio...
- 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...
- A pole 6 m high casts a shadow 2√3 m long on the ground. Find the angle of elevation
- 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...
- At a point 20 metres away from the base of a 20√3, metres high house, the angle of elevation of the top is
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)