Question : The upper part of a tree broken at a certain height makes an angle of 60° with the ground at a distance of 10 metres from its foot. The original height of the tree was:

Option 1: $20\sqrt{3}$ metres

Option 2: $10{\sqrt3}$ metres

Option 3: $10\left (2+{\sqrt3} \right)$ metres

Option 4: $10\left (2-{\sqrt3}\right)$ metres

Question : A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30^o. At what approximate distance (in metres) is the person standing away from the building?

Option 1: 1000

Option 2: 936

Option 3: 1732

Option 4: 1542

Question : From the top of a 20 metres high building, the angle of elevation from the top of a tower is 60° and the angle of depression of its foot is at 45°, then the height of the tower is: $(\sqrt{3} = 1.732)$

Option 1: 45.46 metres

Option 2: 45.64 metres

Option 3: 54.64 metres

Option 4: 54.46 metres

Question : If the angle of elevation of the top of a pillar from the ground level is raised from 30° to 60°, the length of the shadow of a pillar of height $50\sqrt{3}$ metres will be decreased by:

Option 1: 60 metres

Option 2: 75 metres

Option 3: 100 metres

Option 4: 50 metres

Question : The angle of elevation of the top of an unfinished pillar at a point 150 metres from its base is 30°. The height (in metres) that the pillar raised so that its angle of elevation at the same point may be 45°, is:

Option 1: 63.4

Option 2: 86.6

Option 3: 126.8

Option 4: 173.2