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
Correct Answer
30 ( ?3 + 1 )
Explanation
Height and Distance problems
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1.
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 :
The upper part of a tree broken by the wind makes an angle of
30° with the ground and the distance from the root to the point where the top of the tree touches the ground is
10 m. What was the height of the tree?
A tower stands on a horizontal plane. A man on the ground
100 m from the base of the tower finds the angle of elevation of the top of the tower to be
30°. What is the height of the tower?
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 :
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 :
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?
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 :