Question

The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Prove that the height of the tower is √st.​

Answer 1

Step-by-step explanation:

Hi......

Let complementary angles be

α and 90−α

tanα= h/s .....(i)

tan(90−α)=cotα= h/t ....(ii)

multiply (i) and (ii)

tanα.cotα= h/s * h/t

So, h^2/st =1

Therefore, h= root st

Hence proved