If the angle of elevation of a cloud from a point P which is 25 m above a lake be 300 and the angle of depression of reflection of the cloud in the lake from P be 600, then the height of the cloud (in meters) from the surface of the lake is
(a)
42
(b)
50
(c)
45
(d)
60
If the angle of elevation of a cloud from a point P which is 25 m above a lake be 300 and the angle of depression of reflection of the cloud in the lake from P be 600, then the height of the cloud (in meters) from the surface of the lake is
(a)
42
(b)
50
(c)
45
(d)
60
Question ID - 57317 | SaraNextGen Top Answer
If the angle of elevation of a cloud from a point P which is 25 m above a lake be 300 and the angle of depression of reflection of the cloud in the lake from P be 600, then the height of the cloud (in meters) from the surface of the lake is
(a)
42
(b)
50
(c)
45
(d)
60
|
If the angle of elevation of a cloud from a point P which is 25 m above a lake be 300 and the angle of depression of reflection of the cloud in the lake from P be 600, then the height of the cloud (in meters) from the surface of the lake is |
|||
|
(a) |
42 |
(b) |
50 |
|
(c) |
45 |
(d) |
60 |
1 Answer
127 votes
Answer Key / Explanation : (b) -
tan 300 = 
⇒ y = 
x …(i)
tan 600 = 
⇒ 
y = 50 + x
⇒ 3x = 50 + x
⇒ x = 25 m
∴ Height of cloud from surface = 25 + 25 =50m
127 votes
Answer Link
127