Question

if two towers of height x and y subtend angles of 30 degree and 60 degree respectively at the centre of a line joining their feet then find the ratio of x and y

Answer 1

See the attached file for solution. Thanks

Answer 2

Answer:

Step-by-step explanation:

Hey guys.....

When base is same for both towers and their heights are given i.e X and y respectively

Let the base of towers be k, then

tan 30= x/k

x= k tan 30

Therefore, x= k/ √3 .......(eq.1)

Now,

tan 60 = y/k

y= k tan 60

y= (k) (√3)........(eq. 2)

From equation 1 and 2 ,

x/y= k/√3/ k√3

x/y=k/√3 * 1/k√3

x/y= 1/3

Therefore x:y= 1:3

Hope it helps u dude!!!!!