A man is watching from the top of a tower a boat speeding away from the tower. T

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Question
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 meter from the tower. After 5 second, the angle of depression becomes 30�. What is the approximate speed of the boat, assuming it is running in still water?
Options
A. 32 Km/h
B. 42 Km/h
C. 38 Km/h
D. 36 Km/h

Correct Answer

32 Km/h

Explanation

Height and Distance problems

Search Results

1.
A man is standing on the 8 m long shadow of a 6 m long pole. If the length of the shadow is 2.4 meter, then the height of the man is :
Options
A. 1.4 m
B. 1.6 m
C. 1.8 m
D. 2.0 m.

2.
The angle of elevation of the top of a TV tower from three points A, B, C in a straight line through the foot of the tower are ?, 2?, 3?, respectively. If AB = a, the height of the tower is :
Options
A. a tan ?
B. a sin ?
C. a sin 2?
D. a sin 3?

3.
If a flag staff of 6 m height placed on the top of a tower throws a shadow of 2 ?3 m along the ground, then the angle that the sun makes with the ground is :
Options
A. 60�
B. 30�
C. 45�
D. None of these

4.
Angle of depression from the top of a lighthouse of two boats are 45� and 30� due east which are 60 m apart. The height of the light house is :
Options
A. 60 ?3
B. 30 ( ?3 - 1 )
C. 30 ( ?3 + 1 )
D. None of these

5.
On the level ground, the angle of elevation of the top of the tower is 30�. On moving 20 m nearer, the angle of elevation is 60�. The height of the tower is :
Options
A. 20 ?3 m
B. 10 ?3 m
C. 10 ( ?3 - 1 ) m
D. None of these

6.
From the top of a tower of height 108 meter the angles of depression of two objects on either sides of the tower are 30� and 45�. The distance between the objects are :
Options
A. 180 ( 3 + ?3 ) m
B. 180 ( 3 - ?3 ) m
C. 180 ( ?3 - 1 ) m
D. 180 ( ?3 + 1 ) m

7.
ABCD is a rectangle where the ratio of the lengths of AB and BC is 3 : 2. If P is the midpoint of AB, then the value of sin (?CPB) is :
Options
A. 3 5
B. 2 5
C. 3 4
D. 4 5

8.
The angles of elevation of the top of a tower from the points P and Q, at distances of 'a' and 'b' respectively from the base of the tower and in the same straight line with it are complementary. The height of the tower is :
Options
A. ?ab
B. a b
C. ab
D. a2b2

9.

The length of a shadow of a vertical tower is 1

?3

times of its height. The angle of elevation of the Sun is :
Options
A. 30 �
B. 45 �
C. 60 �
D. 90 �

10.
The banker's gain of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time and at the same rate is Rs. 30. The sum is?
Options
A. Rs. 1080
B. Rs. 180
C. Rs. 500
D. Rs. 300

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