wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The angle of elevation of a cloud from a point h meters above the surface of a lake is 300 and the angle of depression of its reflection is 600. Then the height of the cloud above the surface of the lake is

A
h3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
h
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2h
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2h
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is C 2h
Consider the following diagram with the cloud at the point A
Let the perpendicular distance of the cloud from the the elevation be x=AC
Angle ABC=300
angle DBC=600
Therefore
Consider triangle ABC
tan300=xBC=13
BC=3x ...(i)
Similarly consider triangle BDC
tan600=h+h+xBC=3
2h+x=3BC ...(ii)
Substituting the value of BC from equation i we get
2h+x=33x
3x=2h+x
h=x
Therefore the height of the cloud above the surface of the water
=h+x
=2h
Hence answer is D
87862_98350_ans.gif

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Questions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon