Question

a boy osberves thats the angle of elevation of the top of a tower is32 .he then walks 8m towaret the angle of evevation is 43 find the height of the tower

Answer 1

Hiii is the correct answer

Answer 2

Given:

angle of elevation when distance of boy from tower is taken to be x=32

Angle of elevation when distance of boy from tower is (x-8)=43

To find:

Height of the tower

Solution:

Let's assume the height of the tower to be 'h'

Now, taking case 1, we have:

tan32=h/x

h=x(tan32)                    (1)

Next, taking case 2, we have:

tan43=h/(x-8)

h=(x-8)(tan43)                     (2)

Now, equating equations (1) and (2), we get:

h=x(tan32)=(x-8)(tan43)

Putting values of tan32=0.625 and tan43=0.933, the equation becomes:

0.625x=0.933x-7.46

x=24.22m

Now, putting this value of x in equation (1), we get:

h=x(tan32)

h=24.22*0.625

h=15.13m

Therefore, height of tower (h)=15.13m