Home
Class 10
MATHS
At a point on level ground, the angle of...

At a point on level ground, the angle of elevation of the top of a tower is found to be such that its tangent is `(5)/(12)`. On walking 192 m towards the tower, the tangent of the angle of elevation is `(3)/(4)`. Find the height of the tower.

Text Solution

Verified by Experts

The correct Answer is:
180m
Promotional Banner

Topper's Solved these Questions

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos
  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Test Your Skills|5 Videos
  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|26 Videos
  • STATISTICS

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

Similar Questions

Explore conceptually related problems

The angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6m.

From a point P on the ground the angle of elevation of the top of a 10m tail building is 30^(@) . A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^(@) . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3= 1.732 )

The angle of elevation of the top of a tower from a point P on the ground is alpha . After walking a distance of d m towards the foot of the tower, the angle of elevation of the top of the tower is found to be beta . Then, ………..holds good.

A statue, 1.6m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the same point the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the pedestal.

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle ofelevation of the top of the statue is 60^(@) and from the same point, the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the statue.

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 60^(@) . When he retreates 20m from the bank, he observes the angle of elevation of the top of the same tree to be 30^(@) . Find the height of the tree and the breadth of the river.

The angle of elevation of the top of a tower from a point O on the ground, which is 450 m away from the foot of the tower, is 30^(@) . Find the height of the tower.

From the top of a building, the angle of elevation of the top of a cell tower is 60^(@) and the angle of depression to its foot is 45^(@) . If distance of the building from the tower is 7m, then find the height ofthe tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower, is 30^(@) . Find the height of the tower.

The angle of elevation of the top of a tower at a distance 500m from the foot is 30^(@) . Then, the height of the tower is ………m.