Home
Class 12
MATHS
A mobile tower stands at the top of a hi...

A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, -1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the point A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure.

Based on the above answer the following:
The equation of the perpendicular line drawn from the top of the tower to the ground is

A

`(x-1)/2=(y+3)/1=(z-8)/(-2)`

B

`(x-2)/(-2)=(y-2)/2=(z-1)/(-4)`

C

`(x-2)/3=(y-3)/2=(z-1)/(4)`

D

`(x+1)/(-2)=(y+3)/(-1)=(z-5)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    CBSE MODEL PAPER|Exercise QUESTIONS|9 Videos

  • Additional Practice Questions

    CBSE MODEL PAPER|Exercise Question|87 Videos

  • SAMPLE QUESTION PAPER ( MATHEMATICS )

    CBSE MODEL PAPER|Exercise QUESTION|60 Videos

Similar Questions

Explore conceptually related problems

A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, -1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the point A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure. Based on the above answer the following: The area of ∆ ABC is

A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, -1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the point A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure. Based on the above answer the following: The coordinates of the foot of the perpendicular drawn from the top of the tower to the ground are

A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, -1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the point A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure. Based on the above answer the following: The height of the tower from the ground is

A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, -1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the point A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure. Based on the above answer the following: The equation of the plane passing through the points A, B and C is

A tower stands vertically on the ground. From a point on the ground which is 30 m away from the foot of a tower, the angle of elevation of the top of the tower is found to be 45^@ . Find the height of the tower.

A tower stands vertically on the ground.From a point on the ground,which is 15m away from the foot of the tower,the angle of elevation of the top of the tower is found to be 60^(@). Find the height of the tower.

A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot of the tower is found to be 60^(@) . Find the height of the tower.

If the distance of a point from the tower is equal to the height of the tower , then find the angle of elevation of the top of the tower from that point .

A tower stands vertically on the ground.From a point on the ground,20m away from the foot of the tower,the angle of elevation of the top of the tower is 60o .What is the height of the tower?

A tower of height 15 m stands vertically on the ground. From a point on the ground the angle of elevation of the top of the tower is found to be 30^(@) . What is the distance of the point from the foot of the tower?