20. Calculate the height of the tower

From the top of the building, 60 \(m\) above the ground the angle of elevation of the top of a tower is \(x^{\circ}\) where \(tan \ x^{\circ} = \frac{4}{3}\) and the angle of depression of the foot of the tower is \(y^{\circ}\) where \(tan \ y^{\circ} = \frac{5}{8}\). Find the height of the tower in meters.

 

Answer:

 

The height of the tower is  \(m\).

 

(Note: If the answer is a whole number, write as it is. If not, round off the answer to \(2\) decimal places.)