Question : The angle of elevation of the sun changes from 30° to 45°. The length of the shadow of a pole decreases by 4 metres and the height of the pole is: (Assume $\sqrt3$ = 1.732)

Option 1: 1.464 m

Option 2: 9.464 m

Option 3: 3.648 m

Option 4: 5.464 m

Question : If a pole of 12 m height casts a shadow of $4\sqrt{3}$ m long on the ground, then the sun's angle of elevation at that instant is:

Option 1: 30°

Option 2: 60°

Option 3: 45°

Option 4: 90°

Question : The tower is 50 metres high, its shadow is $x$ metres shorter when the sun's elevation is $45°$ than when it is $30°$. The value of $x$ (in metres) is:

Option 1: $50\sqrt{3}$

Option 2: $50\left ({\sqrt3-1} \right)$

Option 3: $50\left ({\sqrt3+1} \right)$

Option 4: $50$

Question : The ratio of the length of a rod and its shadow is $1: \sqrt{3}$. The angle of elevation of the sun is:

Option 1: $90^{\circ}$

Option 2: $30^{\circ}$

Option 3: $45^{\circ}$

Option 4: $60^{\circ}$

Question : The angle of elevation of the top of a tower from a point on the ground is 30° and moving 70 m towards the tower it becomes 60°. The height of the tower is:

Option 1: $10$ m

Option 2: $\frac{10}{\sqrt{3}}$ m

Option 3: $10\sqrt{3}$ m

Option 4: $35\sqrt{3}$ m