Home
Class 10
MATHS
The horizontal distance between two towe...

The horizontal distance between two towers is 60 m and the angular depression of the top of the second tower which is 150 m high is `30^(@)`. The height of the first is

A

120m

B

`10(15+2sqrt(3))m`

C

`10(15+2sqrt(3))m`

D

`10(15+sqrt(3))m`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    CENGAGE|Exercise TEST YOURSELF(LEVEL 3 MULTIPLE CHOICE QUESTIONS)|19 Videos
  • HEIGHTS AND DISTANCES

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos
  • HEIGHTS AND DISTANCES

    CENGAGE|Exercise TEST YOURSELF(LEVEL 2)|3 Videos
  • EQUATION OF A STRAIGHT LINE - I

    CENGAGE|Exercise WORKED EXAMPLES |11 Videos
  • MATRICES

    CENGAGE|Exercise Test yourself (Level 3) Multiple choice questions |40 Videos

Similar Questions

Explore conceptually related problems

The horizontal distance between two towers is 60 metres. The angle of depression of the top of the first tower when seen from the top of the second tower is 30^(@) . If the height of the second tower is 90 metres. Find the height of the first tower. [Use sqrt(3)= 1.732 ]

The horizontal distance between two towers is 140m .The angle of elevation of the top of the first tower when seen from the top of the second tower is 30^(0). If the height of the second tower is 60m ,find the height of the first tower.

The horizontal distance between two towers is 140m. The angle of elevation of the top of the first tower when seen from the top of the second tower is 30^(0). If the height of the second tower is 60m, find the height of the first tower.

The distance between two towers is 140 m while seeing from the top if the second tower, the angle of elevation of first tower is 30^(@) .If the height of the second tower is 60 m, then find the height of the first tower.

From the top of a 7m high building,the angle of elevation of the top of a tower is 60 and the angle of depression of the foot of the tower is 30. Find the height of the tower.

The angle of elevation of the top of a chimney from the top of a tower is 60^(@) and the angle of depression of foot of the chimney from the top of the tower is 30^(@). If the height of the tower is 40m find the height of the chimney.

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@). The distance between the two towers is m times the height of the shorter tower. What is m equal to ?

From the top of a 12 m high building, the angle of elevation of the top of a tower is 60^@ and the angle of depression of the foot of the tower is theta , such that tan theta = (3)/(4) What is the height of the tower (sqrt(3) = 1.73) ?