A man is moving away from a tower 41.6 m...

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

Text Solution

AI Generated Solution

Topper's Solved these Questions

DEFINITE INTEGRALS
RD SHARMA ENGLISH|Exercise All Questions|562 Videos
DETERMINANTS
RD SHARMA ENGLISH|Exercise All Questions|441 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower is 30^@ . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower, is 30^@ . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30^@ . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground is 60^(@) . which is 25 m away from the foot of the tower. Find the height of the tower

The angle of elevation of the top of a tower from a point 40 m away from its foot is 60^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 40 m away from the foot of the tower is 30^(@) . Find the height of the tower.

If the angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary, find the height of the tower.

The angle elevation of the top of a tower from a point C on the ground. Which is 30 m away from the foot of the tower is 30^(@) . Find the height of the tower.

From the top of a 7 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 30°. Find the height of the tower.

The angle of elevation of the top of a tower. from a point on the ground and at a distance of 160 m from its foot, is fond to be 60^(@) . Find the height of the tower .

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions

Water is running into a conical vessel, 15cm deep and 5cm in radius, a...
Text Solution
|
A water tank has the shape of an inverted right circular cone with ...
Text Solution
|
A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. ...
Text Solution
|
A kite is moving horizontally at a height of 151.5 m. If the speed of ...
Text Solution
|
The side of a square sheet is increasing at the rate of 4cm per minute...
Text Solution
|
An edge of a variable cube is increasing at the rate of 3 cm per se...
Text Solution
|
The side of a square is increasing at the rate of 0.2 cm/sec. Find the...
Text Solution
|
The radius of a circle is increasing at the rate of 0.7 cm/sec. Wha...
Text Solution
|
The radius of a spherical soap bubble is increasing at the rate of ...
Text Solution
|
A balloon which always remains spherical, is being inflated by pump...
Text Solution
|
The radius of an air bubble is increasing at the rate of 0.5 cm/sec...
Text Solution
|
A man 2 metres high walks at a uniform speed of 5 km/hr away from a ...
Text Solution
|
A stone is dropped into a quiet lake and waves move in circles at a...
Text Solution
|
A man 160 cm tall, walks away from a source of light situated at the t...
Text Solution
|
A man 180 cm tall walks at a rate of 2m/sec. away, from a source of...
Text Solution
|
A ladder 13m long leans against a wall. The foot of the ladder is p...
Text Solution
|
A particle moves along the curve y=x^2+2xdot At what point(s) on the c...
Text Solution
|
If y=7x-x^3 and x increases at the rate of 4 units per second, how fas...
Text Solution
|
A particle moves along the curve y=x^3 . Find the points on the curve...
Text Solution
|
Find an angle theta , which increases twice as fast as its cosine.
Text Solution
|