A moving boat is observed from the top o...

A moving boat is observed from the top of a 150 m high cliff moving away from the cliff. The angle of depression of the boat changes from `60^@` to `45^@` in 2 minutes. Find the speed of the boat in m/h.

Text Solution

Verified by Experts

The correct Answer is:

31.7 m/min

Topper's Solved these Questions

INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS
EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-II) TYPE QUESTIONS |27 Videos
COORDINATE GEOMETRY
EDUCART PUBLICATION|Exercise LONG ANSWER (LA) TYPE QUESTIONS (4 MARKS) |7 Videos
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions [4 marks]|10 Videos

Similar Questions

Explore conceptually related problems

A boat is being rowed away from a cliff 150 meter high. At the top of the cliff the angle of depression of the boat changes from 60^(@) to 45^(@) in 2 minutes. Find the speed of the boat.

A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car change from 30^(@)" and "45^(@) in 12 minutes, find the time taken by the car now toreach the tower.

A man in a boat rowed away from a cliff 150 m high takes 2 min, to change the angle from 60^(@) to 45^(@) . The speed of the boat is

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.

From the top of a 10 m high building, the angle of elevation of the top of a tower is 60^@ and the angle of depression of its foot is 45^@ . Find the height of the tower

A man in a boat rowing away from a light house 100 m high takes 2 minutes to change the angle of elevation of the top of the light house from 60° to 30°. Find the speed of the boat in meters per minute. [Use sqrt(3) = 1.732 )

EDUCART PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS -LONG ANSWER TYPE QUESTIONS

Prove that: ((1+ cot theta + tan theta)(sin theta - cos theta))/(sec^(...
Text Solution
|
If sec theta + tan theta = m, show that ((m^(2) -1))/((m^(2) +1)) = ...
Text Solution
|
A moving boat is observed from the top of a 150 m high cliff moving aw...
Text Solution
|
A ladder rests against a vertical wall at inclination alpha to the hor...
Text Solution
|
There are two temples, one on each bank of a river, just opposite t...
Text Solution
|
A boy standing on a horizontal plane finds a bird flying at a distance...
Text Solution
|
prove that: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec ...
Text Solution
|
The lower window of a house is at a height of 2m above the ground and ...
Text Solution
|
Prove that: (sin theta)/(cot theta + "cosec"theta) = 2 + (sin theta)/(...
Text Solution
|
Prove that (sinA -cos A+1)/(sin A + cos A - 1) = (1)/(sec A - tan A)
Text Solution
|
A man in a boat rowing away from a light house 100 m high takes 2 minu...
Text Solution
|
Two poles of equal heights are standing opposite each other on either...
Text Solution
|
The shadow of a flagstaff is three times as long as the shadow of the...
Text Solution
|
Prove that: (sinA - 2sin^(3)A)/(2 cos^(3)A - cosA) = tan A
Text Solution
|
A straight highway leads to the foot of a tower. A man standing at ...
Text Solution
|
The angle of elevation of a cloud from a point 10 meters above the sur...
Text Solution
|
From a point A on the ground , the angles of elevation of the top of a...
Text Solution
|
A 1.5m tall boy is standing at some distance from a 30m tall buildi...
Text Solution
|
From the top of a 120 m hight tower a man observes two cars on the opp...
Text Solution
|
A vertical tower stands on a horizontal plane and is surmounted by a f...
Text Solution
|