If the line of sight and angle of elevation is given, then which trigonometric ratio is used to find the height of the building.

A flag pole of height $\text{'}h\text{'}$ metres is on the top of the hemispherical dome of radius $\text{'}r\text{'}$ metres. A man is standing $7 \mathrm{m}$ away from the dome. Seeing the top of the pole at an angle $45°$ and moving $5 \mathrm{m}$ away from the dome and seeing the bottom of the pole at an angle $30°$.

Find the value of $h$. ($\sqrt{3}=1.732$)

A flag pole of height $\text{'}h\text{'}$ metres is on the top of the hemispherical dome of radius $\text{'}r\text{'}$ metres. A man is standing $7 \mathrm{m}$ away from the dome. Seeing the top of the pole at an angle $45°$ and moving $5 \mathrm{m}$ away from the dome and seeing the bottom of the pole at an angle $30°$.

Find the radius of the dome.$\left(\sqrt{3}=1.732\right)$