26. Five mark exercise problem II

A statue \(1.6 \ m\) tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is \(60^{\circ}\) and from the same point the angle of elevation of the top of the pedestal is \(40^{\circ}\). Find the height of the pedestal. (\(tan \ 40^{\circ} = 0.8391\), \(\sqrt{3} = 1.732\))

 

Answer:

 

The height of the pedestal \(=\)