For the following questions answer them individually
A kite is flying with a string inclined at $$30^\circ$$ to the horizontal. The height of the kite (in meters) when the string is 15 m long is
If a polynomial leaves remainder -7 and 5 respectively when it is divided by x - 5 and x + 3 then the remainder when the same polynomial is divided by $$x^2 - 2x + 15$$ is
If $$x^2 + x - 2$$ is a factor of the polynomial $$x^4 + 3x^3 + ax^2 + bx +16$$ then the ordered pair (a, b) =
$$\frac{6}{a} + \frac{15}{b} = 8, \frac{10}{a} - \frac{9}{b} = 2 \Rightarrow a^2 + b^2 =$$
If the sum to 2n terms of the arithmetic progression 2. 5. 8..... Is equal to the sum to n terms of the arithmetic progression is 57, 59. 61....., then n=
If the common ratio of a geometric progression is $$\frac{3}{7}$$ and its sum to infinite terms is 133 then the first term of the geometric progression is