Home
Class 11
MATHS
A tree stands vertically on a hill side ...

A tree stands vertically on a hill side which makes an angle of `15^(@)` with the horizontal. From a point on the ground `35m`. Down the hill from the base of the tree, the angle of elevation of the top of the tree is `60^(@)`. Find the height of the tree.

Text Solution

Verified by Experts

The correct Answer is:
`35sqrt(2)m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 3|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|122 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.4|9 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

A tower stands vertically on the ground. From a point on the ground, which is 15m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^(@) . Find the height of the tower.

An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45^(@) What is the height of the palm tree?

Knowledge Check

  • 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.

    A
    `250 sqrt3`
    B
    `500 sqrt3`
    C
    `(500)/(sqrt3)`
    D
    250
  • The length of the shadow of a 10m high tree is ……..m when the angle of elevation of the Sun is 30^(@) .

    A
    10
    B
    `(10)/(sqrt3)`
    C
    `10 sqrt3`
    D
    20
  • Similar Questions

    Explore conceptually related problems

    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.

    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 pole stands erect on the ground. If the angle of elevation of the top of the pole from a point 90m away from the foot of the pole is 30^(@) , find the height of the pole.

    A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60^(@) . From another point 20m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30^(@) (see the given figure). Find the height of the tower and the width of the canal.

    An observer 1.7m tall, is 20 sqrt3m away from a tower. The angle of elevation of the top of the tower from the eyes of the observer is 30^(@) . Find the height of the tower.