Home
Class 12
MATHS
Some portion of a 20 meters long tree i...

Some portion of a 20 meters long tree is broken by the wind and its top struck the ground at an angle of `30 ^@`.Find the height of the point where the tree is broken.

Text Solution

Verified by Experts

Let AD be the tree before it was broken . AD= 20 m
Tree is broken at point B and the broken portion is touching the ground at point C. In triangle BAC,

`sin 30^@ =(h)/(20 -h )`
`rArr 1/2= (h)/(20 -h)`
`rArr 20 -h = 2h `
`rArr h=(20)/(3) m`
Promotional Banner

Topper's Solved these Questions

  • HIGHT AND DISTANCE

    CENGAGE|Exercise Exercise|18 Videos

  • HIGHT AND DISTANCE

    CENGAGE|Exercise JEE Previous Year|3 Videos

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise|22 Videos

  • HYPERBOLA

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos

Similar Questions

Explore conceptually related problems

some portion of a 30m long tree is broken by tornado and the top struck up the ground making an angle 30^@ with ground level. The height of the point where the tree is broken is equal to:

A tree is broken by the wind. The top struck the ground at an angle of 30^(@) and at a distance of 4 m from the root. Find the height of the tree before broken.

A tree is broken by the wind. If the top of the tree struck the ground at an angle of 30^(@) and at a distance of 30 m from the root, then the height of the tree is

A palm tree 90 ft high, is broken by the wind and its upper part meet the ground at an angle of 30^(@) . Find the distance of the point where the top of the tree meets the ground from its root:

A tree 12 m high, is broken by the wind in such a way that its top touches the ground and makes an angles 60^(@) with the gorund. At what height from the bottom the tree is broken by the wind? Write your answer correct to the nearest m. (sqrt(3) = 1.732)

A vertical post 15 ft high is broken at certain height and its upper part, not completely seperated, meet the ground at an angle of 30^@ . Find the height at which the post is broken.

A tree is broken by the wind. The top of that tree struck the ground at an angle of 30^(@) and at a distance of 30 m from the root. Find the height of the whole tree. ( sqrt(3) = 1.73)