Home
Class 10
MATHS
From a point on a bridge across a river,...

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are `30o`and `45o`, respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.

A

`1(sqrt(3)+1)m`

B

`(sqrt(3) +1)m`

C

`(sqrt(3)+2)m`

D

`3(sqrt(3)+1)m`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY (HEIGHTS AND DISTANCES)

    OSWAL PUBLICATION|Exercise ASSERTION AND REASON BASED MCQs |4 Videos
  • SAMPLE QUESTION PAPER

    OSWAL PUBLICATION|Exercise Section -C|5 Videos
  • STATISTICS

    OSWAL PUBLICATION|Exercise Assertion and Reasoning Based Questions|2 Videos

Similar Questions

Explore conceptually related problems

From a point on a bridge across a river, the angles of depression of the banks on opposite sides, of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.

From a point an a bridge across river, the angles of depression of the banks on opposite sides of the river are 30^(@) and 45^(@) respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.

From a point on a bridge across a river the angles of depression of the banks on opposite side of the river are 30o and 45o respectively. If bridge is at the height of 30m from the banks,find the width of the river.

From a point of a bridge across a riuver, the angles of depression of the banks on opposite sides of the river are 30^(@) and 45^(@) , respectively. IF the bridge is at a height of 10 m from the banks, then find the width of the river. (Use sqrt3=1.73 )

From a point A on a bridge across a river, the angles of deression of the banks on opposite side of the river are 30^@ and 45^@ , respectively. If the bridge is at a height of 9 m from the suface of river, then find the width of the river.

From a point on a bridge across a river,the angles of depression of the banks on opposite sides of the river are 30^(@) and and m from the banks,find the width of the river.

From the top of a 50m high tower,the angles of depression of the top and bottom of a pole are observed to be 45o and 60o respectively. Find the height of the pole.

There are two temples,one on each bank of a river,just opposite to each other.One temple is 54 m high.From the top of this temple,the angles of depression of the top and the foot of the other temple are 30o and 60o respectively. Find the width of the river and the height of the other temple.

There are two temples,one on each bank of a river,just opposite to each other.One temple is 50m high.From the top of this temple,the angles of depression of the top and the foot of the other temple are 30o and 60o respectively. Find the width of the river and the height of the other temple.

The two palm trees are of equal heights and are standing opposite each other on either side of the river, which is 80 m wide. From a point O between them on the river the angles of elevation of the top of the trees are 60^(@) and 30^(@) , respectively. Find the height of the trees and the distances of the point O from the trees. OR The angles of depression of the top and bottom of a building 50 meters high as observed from the top of a tower are 30^(@) and 60^(@) respectively. Find the height of the tower, and also the horizontal distance between the building and the tower.