The angle of elevation of the top of a tower from the top and foot of a pole are respectively 30° and 45°. If hT is the height of the tower and hP is the height of the pole, then which of the following are correct?1. \(\frac{{2{h_P}{h_T}}}{{3 + \sqrt 3 }} = h_P^2\)2. \(\frac{{{h_T} - {h_P}}}{{\sqrt 3 + 1}} = \frac{{{h_P}}}{2}\)3. \(\frac{{2\left( {{h_P} + {h_T}} \right)}}{{{h_P}}} = 4 + \sqrt 3 \)Select the correct answer using the code given below.

The angle of elevation of the top of a tower from the top and foot of

1.	The angle of elevation of the top of a tower from the top and foot of a pole are respectively 30° and 45°. If hT is the height of the tower and hP is the height of the pole, then which of the following are correct?1. \(\frac{{2{h_P}{h_T}}}{{3 + \sqrt 3 }} = h_P^2\)2. \(\frac{{{h_T} - {h_P}}}{{\sqrt 3 + 1}} = \frac{{{h_P}}}{2}\)3. \(\frac{{2\left( {{h_P} + {h_T}} \right)}}{{{h_P}}} = 4 + \sqrt 3 \)Select the correct answer using the code given below.
A.	1 and 3 only
B.	2 and 3 only
C.	1 and 2 only
D.	1, 2 and 3
Answer» D. 1, 2 and 3