From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the object is $$ {32{\sqrt{3}{\ meter}}}$$. The value of  x is:

If 2sinθ+cosθ= $${7\over3}$$ then the value of (tan²θ-sec²θ) is

The average of 5 consecutive natural numbers is M. If the next three natural numbers are also included, how much more than M will the average of these 8 numbers be? 

The line graph shows the number of vacancies of accountants in a certain company. Study the diagram and answer the following questions.

 What is the average of the total vacancies?

The number of pairs of natural numbers the difference of whose squares is 45 will be –

If ABCDEF is a regular hexagon, then what is the value (in degrees) of ∠ADB? 

Two partners invest 1,25,000 and 85,000 respectively in business and agree that 60 % of the profit should be divided equally between them and the remaining profit is it be treated as interest on capital. If one partner gets 300 more than the other, find the total profit made in the business. 

The ratio of the square of volume of two cylinders is a:b and the ratio of their radius is x:y, then what is the ratio of their heights?