Question

the angle of elevation of the top of the tower from 2 points at a distance of a and b m from the base of tower and in the same straight line with it are complementary . prove that the hieght of tower is root ab m​

Answer 1

Answer:

h =√ab

Step-by-step explanation:

let the height of tower be h

angle of elevation at distance a meters from foot of tower be theta

so angle of elevation at a point b meters from foot of tower will be (90°- theta)

given that two angles are complementary.

tan(theta)=h/a

h=a tan( theta )

.......equation 1

tan (90- theta ) =h/b

cot( theta )=h/b

1/tan ( theta )=h/b

tan (theta)=b/h

.........equation 2

substitute tan ( theta ) in equation 1

h= a×b/h

h^2=ab

$h = \sqrt{ab}$

sorry that I don't have pen & paper right now ,hope you under figure

Answer 2

Answer:

Check your answer please