Question

From a point p on the ground the angle of elevation of the top of a tower is 30 45 meritnation

Answer 1

Answer:

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for solving height of tower please see the following example -

Q:The angle of elevation of the top of a vertical tower from a point on the ground is 60 degree. From another point 10m vertically above the first, its angle of elevation is 45 degree. Find the height of the tower.

Step-by-step explanation:

Ans:let height of tower = h + 10m

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

at first angle it makes with ground = 60 degree

tan(60) = sqrt{3} = (h+ 10)/z = 1.732   . . . . . . (eq 1)

next angle = 45 degree

pt is 10 m above the ground 

tan(45)= 1 = h/z  

:. h=z  . . . . . . . . . (eq. 2)

substituting value of z in eq. 1 

h+ 10 = 1.732 h

:. h = 13.66 m 

height of tower = h + 10m = 13.66+10 = 23.66 m