Question

The angle of elevation of the top of a vertical tower from a point on the ground is 60 degree. From another point 40m vertically above the first, its angle of elevation is 45 degree. Find the height of the tower.

Answer 1

Answer:

x = 13.66 m 

Step-by-step explanation:

let height of tower = x + 10m

let dist. between base of tower and obs. pt. = y

at first angle it makes with ground = 60 degree

tan(60) = sqrt{3} = (x + 10)/y   . . . . . . (eq 1)

next angle = 45 degree

pt is 10 m above the ground 

tan(45)= 1 = x/y    

:. x=y  . . . . . . . . . (eq. 2)

substituting value of y in eq. 1 

x + 10 = 1.732 x

:. x = 13.66 m 

Answer 2

Answer:

Step-by-step explanation: