Question

simple method to do this problem.
pls help

Answer 1

this is the simplest i could do..
first using tan alpha and tan beeta , get two values of PM . then substitute both and u will get the value of x and then u have to add h .

Answer 2

♦ Componendo Dividendo ♦

Hopefully you are aware of the mathematical fact :->

--> If ( a / b ) = ( c / d ) => [ a + b ] / [ a - b ] = [ c + d ] / [ c - d ] √√

Now, tan α = x / PM  || tan β = ( x + 2h ) / PM
=> tanβ / tanα = ( x + 2h ) / ( x )

Applying componendo dividendo -->
 ---> ( tanβ + tanα ) / ( tanβ - tanα ) = 2( x + h ) / 2h
=> Height of cloud = ( x + h ) = h [ ( tanβ + tanα ) / ( tanβ - tanα ) ] 

And we're done ^_^ ...