A $10 \mathrm{m}$ long ladder is placed against a wall. It is inclined at an angle of $30°$ to the ground. The distance (in m) of the foot of the ladder from the wall is (Given $\sqrt{3}=1.732$)

From the top of a $120 m$ high tower, the angle of depression of the top of a pole is ${45}^o$ and the angle of depression of the foot of the pole is $\theta$. such that $\tan \theta =\frac{3}{2}$. What is the height of the pole?

From the top of $120 \mathrm{m}$ high lighthouse, the angle of depression of two ships on the opposite sides of the base of the lighthouse is ${30}^{\mathrm{o}}$ and ${60}^{\mathrm{o}}.$ What is the distance between the ships?

A and B are standing on the same side of a wall and observe that angle of elevation to the top of the wall are ${45}^{\mathrm{o}}$ and ${60}^{\mathrm{o}}$ respectively. if the height of the wall is $50$ m, the distance between A and B is:$\sqrt{3}=1.73, \sqrt{2}=1.41$