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

Answer: ANSWER

Let complementary angles be

α and 90−α

tanα=

s

h

​

.....(i)

tan(90−α)=cotα=

t

h

​

....(ii)

multiply (i) and (ii)

tanα.cotα=

s

h

​

.

t

h

​

ts

h

2

​

=1

h=

st

​

Step-by-step explanation: