Height & Distance || 13.08.2022

Two posts are 4 m apart. Both posts are on same side of a tree. If the angles of depressions of these posts when observed from the top of the tree are 45^o and 60^o respectively, then what is the height of the tree?

P and Q are two points on the ground on either side of a pole. The angles of elevation of the top of the pole as observed from P and Q are 60° and 30°, respectively and the distance between them is 84√3 m. What is the height (in in) of the pole?

The angle of elevation of the top of a tree from a point on the ground which is 300 m away from the tree is 30 ^o. When the tree grew up, its angle of elevation of the top of it became 60^o from the same point. How much did the tree grow?

As observed from the top of a light house, 120√3 m above the sea level, the angle of depression of a ship sailing towards it changes from 30° to 60°. The distance travelled by the ship during the period of observation is:

A ladder is resting against a wall. The angle between the foot of the ladder and wall is 60⁰, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder ( in m) is:

The angles of elevation of the top of a tower from two points on the ground at distances 32 m and 18 m from its base and in the same straight line with it are complementary. The height (in m) of the tower is _________.

The angle of depression of two cars situating at same side of a hill of height 96m are 30^° and 60° respectively. Find the distance between the cars? (Use √3 = 1.73 and calculate up to nearest integer)

A ladder leaning against a window of a house makes an angle of 60^o with the ground. If the distance of the foot of the ladder from the wall is 4.2 m, then the height of the point, where the ladder touches the window from the ground is closest to: