Question
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 height of the tower?
AB = 8 m DC = h, BC = x In ∆BCD tan 45 ° = DC/BC = h/x 1 = h/x x = h In ∆ACD tan 30° = DC/AC = DC/(AB + BC) 1/ √3 = h/(8 + x) 1/ √3 = h/(8 + h) 8 + h = √3 h √3 h - h = 8 h ( √3 - 1 ) = 8 h = 8/( √3 - 1) x ( √3 + 1)/ ( √3 + 1) = 4( √3 + 1)More Height and Distance Questions
- A pole 21 m high casts a shadow 7√3 m long on the ground. Find the angle of elevation
- From the top of an upright pole 30√3 feet high, the angle of elevation to the top of an upright tower was 60°. If the foot of the pole was 55 feet away fro...
- 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. What ...
- 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 ...
- The angle of depression from the top of a light-house of two boats are 60° and 30° towards the west, if the two boats are 60m apart, then the height of the...
- 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...
- The angle of depression of a point on the ground as seen from the top of a tower, 65 feet high, is 45°. Find the distance of the point on the ground from t...
- Two buildings are collinear with the base of a tower and are at a distance 9m and 16m from the base of the tower. The angles of elevation from these two bu...
- 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...
- A pole 6 m high casts a shadow 2√3 m long on the ground. Find the angle of elevation
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)