Question : If the height of a pole is $2\sqrt{3}$ metres and the length of its shadow is 2 metres, then the angle of elevation of the sun is:

Option 1: 90°

Option 2: 45°

Option 3: 30°

Option 4: 60“

Question : If the angle of elevation of the Sun changes from 30° to 45°, the length of the shadow of a pillar decreases by 20 metres. The height of the pillar is:

Option 1: $20(\sqrt{3}-1)$ m

Option 2: $20(\sqrt{3}+1)$ m

Option 3: $10(\sqrt{3}-1)$ m

Option 4: $10(\sqrt{3}+1)$ m

Question : Two posts are 2 metres apart. Both posts are on the same side of a tree. If the angles of depressions of these posts when observed from the top of the tree are 45° and 60° respectively, then the height of the tree is:

Option 1: $(3-\sqrt{3})$ metres

Option 2: $(3+\sqrt{3})$ metres

Option 3: $(-3+\sqrt{3})$ metres

Option 4: $(3-\sqrt{2})$ metres

Question : The two banks of a canal are straight and parallel. A, B, and C are three persons, of whom A stands on one bank and B and C on the opposite banks. B finds the angle ABC is 30°, while C finds that the angle ACB is 60°. If B and C are 100 metres apart, the breadth of the canal is:

Option 1: $\frac{25}{\sqrt{3}}$ metres

Option 2: $20\sqrt{3}$ metres

Option 3: $25\sqrt{3}$ metres

Option 4: $\frac{20}{\sqrt{3}}$ metres

Question : A kite is flying at a height of 50 metres. If the length of the string is 100 metres, then the inclination of the string to the horizontal ground in degree measure is:

Option 1: 90°

Option 2: 60°

Option 3: 45°

Option 4: 30°