Home
Class 14
MATHS
A man is watching from the top of a towe...

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 60 m from the bottom of tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat assuming that it is running in still water ?

A

31.5 km/h

B

36.5 km/h

C

38.5 km/h

D

40.5 km/h

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45o with the mans eye when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes 30o . What is the approximate speed of the boat, assuming that it is running in still water? (a) 32 kmph (b) 36 kmph (c) 38 kmph (d) 40 kmph (d) 42 kmph

A boat is moving away from an observation tower .It makes an angle of depression of 30^(@) with an observer 's eye when at a distance of 50 metre from the tower . After 8 seconds ,the angle of depression becomes 60^(@) .By as - suming that it is running in still water , the approximate speed of the boat is :

The angle of depression of a point situated at a distance of 70 m from the base of a tower is 60^(@) .The height of the tower is :

From the top of a lighthouse 120m above the sea, the angle of depression of a boat is 15^(@) . What is the distance of the boat from the lighthouse?

From the top of a lighthouse 120 m above the sea, the angle of depression of a boat is 15^(@). what is the distance of the boat from the lighthouse?

A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man's eye is 30^(@) (Ignore man's height). After sailing for 20 seconds, towards the base of the tower (which is at the level of water), the boat has reached a point B, where the angle of depression is 45^(@) . Then the time taken (in seconds) by the boat from B to reach the base of the tower is:

A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time, the angle of depression becomes 60°. What is the distance travelled by the car during this time ?

The angle of depression of a point from the top of a 200 m high tower is 45^@ . The distance of the point from the tower is