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.

Asked by naancysingh | 9th Apr, 2022, 07:07: PM

Expert Answer:

Using trigonometry, we have
tanx equals straight h over straight s space space... space left parenthesis straight i right parenthesis
tan open parentheses 90 minus straight x close parentheses equals straight h over straight t space space... space left parenthesis ii right parenthesis
Since comma space tanx space cross times space cotx space equals space 1
rightwards double arrow straight h squared over st equals 1
rightwards double arrow straight h equals square root of st

Answered by Renu Varma | 11th Apr, 2022, 11:35: AM