For the following questions answer them individually
A balloon is connected to a meteorological station by a cable of length 130 m. inclined at 60° to the horizontal. Find the height of the balloon from the ground. Assume that there is no slack in cable.
Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively.
If the angles of a triangle are in the ratio of 2:3:5, then find the ratio of the greatest angle to the smallest angle.
The annual financial statement prepared under article 112 of the Indian Constitution is called
Rain travels 4/$$9^{th}$$ of the total journey by bus, 5/18th by rail and the remaining 101cm on foot. Find the distance of total journey.
If $$a=5, b=4. c=8$$ then find the value of $$(a^3+b^3+c^3-3abc)/(ab+bc+ca-a^2-b^2-c^2)$$.
The average age of a batch of 19 members is 24 years. If the age of the faculty be included, then the average increases by 4 months. What is the age of the faculty?
