35. Five mark exercise problem XI

A flag pole '$h$' metres is on the top of the hemispherical dome of radius '$r$' metres. A man is standing $7 \ m$ away from the dome. Seeing the top of the pole at an angle of $45^{\circ}$ and moving $5 \ m$ away from the dome and seeing the bottom of the pole at an angle of $30^{\circ}$. Find (i) the height of the pole (ii) radius of the dome. ($\sqrt{3} = 1.732$)

 

 

Answer:

 

(i) The height of the pole is  $m$.

 

(ii) The radius of the dome is  $m$.