If the height of a pole is $2\sqrt{3}$ meters and the length of its shadow is 2 meters. The angle of elevation of the sun is:

In $\triangle ABC$ with AB = 5 cm, BC = 12 cm, AC = 13 cm and $\angle B = 90^\circ$, which of the following is/are not correct?

(a) $\tan C = \frac{12}{13}$

(b) $\text{cosec} A = \frac{13}{12}$

(c) $\sin B = \frac{5}{13}$

(d) $\tan A = \frac{12}{15}$

(e) $\cos C = \frac{12}{13}$

Choose the correct answer from the options given below:

The angle of elevation of a cloud from a point 200 meter above a water body is 30° and the angle of depression of its reflection in the water body is 60°. The height of the cloud in meter is:

A statue 1.46 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45°. The height of the pedestal (round the answer up to one decimal place), is:

From a point exactly midway between the foot of two towers P and Q, the angle of elevation of their tops are 30° and 60°, respectively. The ratio of the heights of tower P to that of Q is:

From A point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45°, respectively. If the bridge is at a height of 9 m from the surface of the river, then find the width of the river.

A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60 degrees on his side of bank. When he moved away 24m from the bank, he finds the angle to be 30 degrees. Find the breadth of the river: