Question
From the top of a cliff 100 meter high, the angles of depression of the top and bottom of a tower are 45° and 60° respectively. The height of the tower is
Let height of tower, be x in ∆AEC => tan 45° = AE / CE => 1 = (100 – x) / CE => CE = 100-x ∆ABD tan 60° = AB / BD => √3 = 100 / CE (CE = BD) => (100 – x) × √3 = 100 => 100 – x = (100 / √3) => x = 100 – 100 / √3 => x = 100 (1 – 1 / 100 / √3) => x = 100/ 3 (3 – √3) More Mensuration Questions
- The length, breadth and height of a storeroom are 17m, 10m and 12m respectively. If each box occupies 40 m3 of space, then how many boxes can be placed in ...
- A sphere is melted and recast into 64 smaller spheres of equal size. If the radius of the original sphere is 16 cm, find the radius of each smaller sphere.
- If the perimeter of rectangle is 56 cm and its length is 2 cm more than breadth then find its area?
- A right circular cone has a height of 24 cm and a base radius of 9 cm. What is the total surface area of the cone, including the base?
- Calculate the perimeter of a circular field with an area of 3675 square meters, using an approximation of π as 3.
- If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numeri...
- What is the difference between (in m2) the area of a circular field of radius 14 metres and area of a rectangular piece of land having its dimensions as 20...
- Ratio of length to width of a rectangular field is 7:4. If the perimeter of the field is 220 metres, then find the area (in m2) of the field.
- In measuring the sides of a rectangle, there is an excess of 12% on one side and 10% deficit on the other. Then the error percent in the area is
- A, B and C enter into a partnership, A invest 2X + 5000, B invest X + 15000 and C invest 5X + 2000 for one year if B share is 10000 from total profit of 20...
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)