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A TV tower stands vertically on the side...

A TV tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower, the angle of elevation of the top of tower is `60^(@)`. From another point 10 m 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^(@)`. Find the height of the tower and the width of the road.

Text Solution

Verified by Experts

The correct Answer is:
Width of the road= 5m and Height of the tower =`5sqrt(3)` m.
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Knowledge Check

  • A T.V. tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower the angle of elevation of the top of tower is 60^@ . From another point 10 m away from the point, on the line joining the point of the foot of the tower, the angle of elevation of the top of the tower is 30^@ . THe width of the road is......

    A
    5m
    B
    `5 sqrt3`m
    C
    10 m
    D
    `10 sqrt3`m

  • From a point 30 mts from the foot of a tower, the angle of elevation of the top is 30^@ . The height of the tower is………..

    A
    10m
    B
    `10sqrt3`m
    C
    15m
    D
    19m

  • The angle of elevation of the top of the tower is 45^(@) on walking up a slope inclinde at an angle of 30^(@) to the horizontal a distance 20 meters, the angle of elevation of top of tower is observed to be 60^(@) . The height of the tower is

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    `10(sqrt3+1)m`
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