Question

1. A tall building casts a shadow of 300m long when the sun's altitude (elevation) is 30 degree. find the height of the tower.

2. From the top of a building 50*31/2m high, the angle of depression of an object on the ground is observed to be 45degree. Find the distance of the object from the building.

3. A tree is broken over by the wind forms a right angled triangle with the ground. If the broken part makes an angle of 60degree with the ground and the top of the tree is now 20m from its base, how tall was the tree?

4.The angle of elevation of the top of a flagpost from a point on a horizontal ground is found to be 30degree. on walking 6m towards the post, the elevation inceased by 15degree. Find the height of the flagpost.

5. Two observers are 1 km apart in the same vertical plane as a baollon, but on opposite sides of it, found the angles of elevation to be 60degree and 45degree. How high is the ballon above the ground?

6. The angles of elevation of the top of a cliff as seen from the top and bottom of a building are 45degree and 60degree respectively. if the height of the building is 24m, find the height of the cilff.

7. From the top of a building 16mt high, the angular elevation of the top of a hill is 60degree and the angular depression of the foot of the hill is 30degree. Find the height of the hill.

8. Find the angle of depression if an observer 150cm tall looks at the tip of his shadow which is 150*31/2m from his foot.

9. From a point 50m above the ground the angle of elevation of a cloud is 30degree and the angle of depression of its reflection is 60degree. Find the height of the cloud abvove the ground.

10. From a light house the angles of depression of two ships on opposite sides of the light house were observed to 45degree and 60degree. If the hieght of the light house is 120m and the line joining the two ships passes through the foot of the light house, find the distance between to two ships.

Answer 1

1. The answer is
$100 \sqrt{3}$