Embibe Experts Solutions for Exercise 1: SAT 2020

Two straight roads $OA$ and $OB$ intersect at $O$. A tower is situated within the angle formed by them and subtends angles of ${45}^{\mathrm{o}}$ and ${30}^{\mathrm{o}}$ at the points $A$ and $B$ where the roads are nearest to it. If $OA=a$ and $OB=b$, then the height of the tower is

The angle of elevation of the top of a ladder leaning against a wall measured from a distance of $7.3$ meters from the foot of the ladder is $45°$. Suppose that the vertical height of the top of the ladder is $17.3$ metres. Then, the best approximation of the angle of inclination of the ladder with the wall is: