Question : A vertical pillar 42 cm long casts a 35 cm long shadow. At the same time, a tower casts a shadow 25 m long. Find the height of the tower.

Option 1: 28 m

Option 2: 35 m

Option 3: 32 m

Option 4: 30 m

Question : A vertical pole and vertical tower are standing on the same level of ground. The height of the pole is 10 m. From the top of the pole, the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is:

Option 1: 20 m

Option 2: 30 m

Option 3: 40 m

Option 4: 50 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 lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium is 4 cm, then its area is:

Option 1: 28 cm

Option 2: 28 sq. cm

Option 3: 30 sq. cm

Option 4: 30 cm

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 : The angle of depression of a point situated at a distance of 70 m from the base of a tower is $60^{\circ}$. The height of the tower is:

Option 1: $35\sqrt{3}$ m

Option 2: $70{\sqrt3}$ m

Option 3: $\frac{70{\sqrt3}}{3}$ m

Option 4: $70$ m