from a pt 50m away fro the base of multistored bilding the angle of elevation of the 1st floor is found to be 30 degree & the angle of elevation of 15th floor is found to be 60 degree what is the distance between 1st floor & the 15th floor

 

AB - multistoryed building

C - first floor

A - 15th floor

 

Required distance = AC

 

In triangle BOC,

tan 30 = BC/OB

1/root 3 = BC/ 50

BC = 50 / root3

 

In triangle AOB,

tan 60 = AB/OB

root 3 = (BC + AC) / 50

 

Now, in the above equation, put the value of BC to get the required distance AC.