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

Question : Metal tea pots have wooden handles because:

Option 1: wood is bad conductor of heat

Option 2: it prevents electric shock

Option 3: it gives beauty to the pots

Option 4: it is hygenic

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 : Air is said to be saturated when -

Option 1: It contains the maximum content of water vapour.

Option 2: Its pressure is minimum.

Option 3: Its thickness is maximum.

Option 4: It blows over the barren land.

Question : If $\tan \alpha=\frac{1}{\sqrt{3}}$ and $\tan \beta=\sqrt{3}$ then what is the value of $\cos (\alpha+\beta)$?

Option 1: 0.2

Option 2: 0

Option 3: 0.5

Option 4: 1