Question

$\huge \tt \pink{Question}$

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.
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Answer 1

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Answer 2

Answer:

Let complementary angles be

α and 90−α

tan α = h/s  

tan (90−α) = cot α =  h/t

multiply (i) and (ii)

tan α. cot α=  h/s  .   h/t

h²/ts  = 1

h= √ st

Step-by-step explanation:

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