Question

The angles of elevation of the top of the tower from the two points at a distance 'x' and 'y' metres from the base and in the same straight line with it are complementary. draw the suitable diagram for this?


It is an argent question . please solve it.​

Answer 1

Answer:

above figure is the answer

Answer 2

Step-by-step explanation:     angle A +angleB =90°      now in triangle ADB

sinA = h/√h²+x²       and in triangle  ACB  cosB = y/√h²+y²  now

A+B =90°⇒ A = 90°-B   , taking sin both sides ⇒ sinA = sin(90°-B)

sinA = cosB      , put above values

h/√h²+x² =y/√h²+y²   ,squaring both sides ,then cross multiply

h²(h²+y²) = y²(h²+x²)

h²=xy

h=xy   (height cannot be negtive)