Question

THE ANGLE OF ELEVATION OF A CLOUD FROM A POINT 200M ABOVE THE LAKE IS 30 DEGREE. AND THE ANGLE OF ITS REFLECTION IN THE LAKE IS 60 DEGREE. FIND THE HEIGHT OF THE CLOUD ABOVE THE LAKE

Answer 1

Answer:

Step-by-step explanation:

In ΔABE,

tan 30°=( h-200m)/x

⇒$\frac{1}{\sqrt{3} }$=$\frac{( h-200m)}{x}$

⇒x=$\sqrt{3} (h-200m)$...................(1)

In ΔBED,

tan 60°= 200/x

⇒$\sqrt{3}$= 200/x

⇒x=$\frac{200}{\sqrt{3} }$...............(2)

Solving (1) & (2),

3(h-200) = h + 200

3h - h = 200 + 600

2h = 800

h= 400

so, required height

h = 400.