The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is:

If $\sin A = \frac45$, then $(3 - \tan A) (2 + \cos A) =$

From the top of a tower, the angles of depression of two objects A and B (situated on the ground on the same side of the tower) are observed to be 30° and 60°, respectively. If the distance between the objects is 200√3 m, then the height of the tower is?

From a point P on the ground the angle of elevation of the top of 10 m high building is $30°$. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from the point P is $45°$. Length of the flagstaff is:

(Take $\sqrt{3} = 1.732$)

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:

If a 30 meter ladder is placed against a 15 meter wall such that it just reaches the top of the wall, then the elevation of the ladder with wall is?

If in $\triangle ABC$ $\angle A + \angle B = 90^\circ$ and $\sin B = \frac{4}{5}$, then find the value of $\cos A$.