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 m above the level of water in a lake is α and the angle of depression of its reflection in the lake is β. Then height of the cloud above the water level.

A
hsin(βα)sin(β+α)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
hsin(βα)sin(βα)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
hsin(α+β)sin(αβ)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A hsin(βα)sin(β+α)


In ΔACP

tanα=PCAC=Hhx

x=Hhtanα

Similarly, in ΔACP

tanβ=CPAC=H+hx

x=H+htanβ

Hhtanα=H+htanβ

H=htanα+tanβtanβtanα

H=hsinαcosβ+sinβcosαsinβcosαsinαcosβ

H=hsin(α+β)sin(βα)

865434_875244_ans_b35151406ab341ffb0f5bca48a3534c3.jpg

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