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 : 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 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 : Two similar triangles are given i.e. $\triangle$LMN ~ $\triangle$PQR, with measurement of angle and side as $\angle$ L = 40°, $\angle$ N = 80°, LM = 6 cm, LN = 8 cm and PQ = 7.5 cm. Find the value of $\angle$ Q and side PR, respectively.

Option 1: 60° and 20 cm

Option 2: 50° and 6.5 cm

Option 3: 40° and 10 cm

Option 4: 60° and 10 cm

Question : AC is the diameter of the circle. B is a point on the circumference. If $\angle$BAC is 40°, then what is $\angle$BCA?

Option 1: 50°

Option 2: 90°

Option 3: 55°

Option 4: 40°