Question
Three figures X, Y, and Z are such that X is 1.5 times Y
and Z is the mean of X and Y. The sum of all three comes out to be 675. Find the second greatest figure among them.Solution
ATQ,
Let the value of Y be ‘x’
So, value of X = 1.5x
So, value of Z = (x + 1.5x)/2 = 2.5x/2 = ‘1.25x’
ATQ;
x + 1.5x + 1.25x = 675
Or, 3.75x = 675
Or, x = 180
So, the second greatest figure = ‘Z’ = 1.25x = 1.25 × 180 = 225
Two men are on opposite sides of a tower of 75 m height. If they measure the elevation of the top of the tower as 30deg; and 45deg; respectively then th...
A tree of height 'h' meters is partially bent at a certain point above the ground, causing its top to touch the ground at a distance of 12 meters from i...
There is a 12 m tall hoarding pole on the top of a building. A person at some distance from the building, observes that the angle of elevation to the to...
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 fr...
The angle of elevation of the top of a building from a point on the ground is 30° and moving 40 meters towards the building it becomes 60°. The height...
The length of the shadow of a vertical tower increases by 9 m on horizontal ground when the height of the sun changes from 45° to 30 ° , then fi...
- 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 t...
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 el...
A man 3 m tall is 19 m away from a tower 22 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.
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.
Relevant for Exams:
