Home
Class 10
MATHS
person observes the angle of elevation o...

person observes the angle of elevation of the top of a building as `30^(@)`. He proceeds towards the building with a speed of, `25 (sqrt(3) -1)` m/hour. After two hours, he observes the angle of elevation as `45^(@)`. What is the height of the building, in metres?

A

50 m

B

`50sqrt(3)+1` m

C

`50sqrt(3)` m

D

`50(sqrt(3)-1)` m

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VALUE BASED QUESTIONS )|2 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (LONG ANSWER TYPE QUESTIONS )|7 Videos

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos

  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50 m high, find the height of the building.

The angle of elevationof the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50m high, find the height of the building.

The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the height of the tower is 50 m, what is the height of the hill?

A bird is sitting on the top of a tree 80 m high. From a point on the ground the angle of elevation of the bird is 45^(@) . The bird flies horizontally such that it remains at a constant height from the ground. After 2 seconds the angle of elevation of the bird from the same point is 30^(@) . Find the speed of the flying bird.

The angle of elevation of the top of a cliff as seen from the top and bottom of a building are 45^(@) and 60^(@) respectively. If the neight of the buildings is 24 m, find the height of the cliff.

From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60^(@) and the angle of depression of its foot is 45^(@) .Determine the height of the tower.

A person, walking 20 mts from a point towards a flagpost along a horizontal passing through its base, observes that its angle of elevation changes from 30^@ to 45^@ Find the height of the flagpost.