The angles of elevation of the top of a tower from the top and foot of a pole are respectively 30 de...........

Explanation:

tan 30⁰ = h_T − h_P / h_T = 1 / √3

[(√3 – 1) hT = √3 hP] × √3 + 1

Or 2 h_T = (√3 + 3) h_P → (1)

Resolving above equation:

3 h_P + √3 h_P = 2 h_T 

√3 h_P = 2h_T / (√3+1) = (√3 – 1) h_P 

Hence 1 is correct.

Resolving 2: 2 h_T – 2 h_P = (√3 + 1) h_P 

Or 2 h_T = (√3 + 3) h_P

Which is equation (1), therefore 2 is also correct.

Resolving 3:

2 h_P + 2 h_T = 4 h_P + √3 h_P 

Or 2 h_T = (√3 + 2) h_P 

Hence 3 is incorrect.