Home
Class 10
MATHS
The angle of elevation of the top of an ...

The angle of elevation of the top of an unfinished tower at a distance of 120 m from its base is `30^(@)`. How much higher must the tower be raised so that the angle of elevation of its top at the same point may be `60^(@)` ?

Text Solution

AI Generated Solution

To solve the problem step by step, we will use trigonometric ratios and the information given in the question. ### Step 1: Understand the problem We have a tower and we need to find out how much higher it must be raised so that the angle of elevation changes from \(30^\circ\) to \(60^\circ\) when viewed from a point 120 m away from its base. ### Step 2: Set up the initial conditions Let the height of the unfinished tower be \(h\) meters. The distance from the base of the tower to the point of observation is \(120\) m. ...
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise|32 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|5 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|5 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of an unfinished tower at a distance of 75m from its base is 30^(@). How much higher must the tower be raised so that the angle of elevation of its top at the same point may be 60^(@).

The angle of elevation of the top of an unfinished tower at a distance of 75 m from its base is 30^(@) . How much higher must the tower be raised so that the angle of elevation of its top at the same point may be 60^(@) ? [Take sqrt(3) = 1.732 .]

The angle of elevation of the top of an unfinished tower at a distance of 100 m from its base is 45^(@) . How much higher must the tower be raised so that angle of elevation of its top at the same point may be 60^(@) ?

The angle of elevation of the top of an unfinished building at a point distant 100m from its base is 45^(@) .How much higher must the building be raised so that its angle of elevation at the same point may be 60^(@)

The angle of elevation of the top of an incomplete tower, at a point 40m away from its foot, is 45^(@) . How much more high the tower must be constructed so that the angle of elevation of its top at the same point be 45^(@) ?

The angle of elevation of the top of an unfinished pillar at a point 150 metres from its base is 30^(@) The height (in metres) that the pillar must be raised so that its angle of elevation at the same point may be 45^(@) , is (Take, sqrt(3)=1.732)

If the angle of elevation of the top of a tower from a point distant 100 m from its base is 45^(@) , then find the height of the tower.

The angle of elevation of the top of a tower from a point 20 m away from its base is 45^(@). What is the height of the tower?

The angle of elevation of the top of a tower form a point 20 m away from its base is 45^(@) . What is the height of the tower?