A man 6ft tall cats a shadow 4ft long. At the same time when a flag pole casts a shadow 50 ft long. The height of the flag pole is

A man is standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a light house as 600 and the angle of depression of the base of lighthouse as 300. Find the height of the light house.

A ladder 10 m long just reaches the top of a wall and makes an angle of 60° with the wall.Find the distance of the foot of the ladder from the wall 

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 450 with the man’s eye when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes 300. What is the approximate speed of the boat, assuming that it is running in still water?

From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:

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

From a point P on a level ground, the angle of elevation of the top tower is 30�. If the tower is 100 m high, the distance of point P from the foot of the tower is:

An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30�. The heights of the tower is:

The angle of elevation of a ladder leaning against a wall is 60� and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30� with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60�. What is the distance between the base of the tower and the point P?

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30� and 45� respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing is 150 m away from point A, what is the speed of the balloon?

The Top of a 15 metre high tower makes an angle of elevation of 60 degree with the bottom of an electric pole and angle of elevation of 30 degree with the top of pole. Find the height of the electric pole.

A man is watching form the top of the tower a boat speeding away from the tower. The boat makes the angle of depression of 45 degree with the man’s eye when at a distance of 60 metres from the tower. After 5 seconds the angle of depression becomes 30 degree. What is the approximate speed of the boat, assuming that it is running in still water ?

From a point C on a level ground, the angle of elevation of the top of a tower is 30 degree. If the tower is 100 meter high, find the distance from point C to the foot of the tower.

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

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30 degree and 45 degree respectively. If the lighthouse is 100 m high, the distance between the two ships is:

Standing at one corner of a square piece of land, a boy looks in the diagonally opposite direction and sees an object that looks like a scare crow. At the moment his angle of elevation formed is 60°. He starts walking back home in a straight line and after 80 ft realizes that the angle of elevation of the object now is only 30°. Find the area of the land he was standing on

Two friends Ajay and Vijay formed sand castles of heights of height 8 cm and 15 cm respectively on the seashore. The distance between the two castles was 24 cm. Find the distance between the tops of two castles.

Mohit looks at the top of a tower. The angle made is 45°. The angle made reduces to 30°, if he moves back by 10 m. How high is the tower?

When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

A man is watching from the top of a tower, a boat speeding away from the tower. The angle of depression from the top of the tower to the boat is 60⁰ when the boat is 80m from the tower. After 10 seconds, the angle of depression becomes 30⁰. What is the speed of the boat? (Assume that the boat is running in still water).

A man is standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a light house as 60⁰ and the angle of depression of the base of the lighthouse as 30⁰. Find the height of the light house.

Consider a regular hexagon ABCDEF. There are towers placed at B and D. The angle of elevation from A to the tower at B is 30 degrees, and to the top of the tower at D is 45 degrees. What is the ratio of the heights of towers at B and D?

The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is

A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing is 150 m away from point A, what is the speed of the balloon?

Find the angle of elevation of the sun when the shadow of a pole of 18 m height is 6 √ 3 m long?

Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?