Question

If the altitude of the sun is 30degree, then find the length of the shadow of a h metre of height tower standing on a plane.

Answer 1

Step-by-step explanation:

Step 1:

Given Data:

Length of a tower is 2x

To prove the height of the tower is x(root 3 +1) metre

Step 2:

In angle BCD,

tan 45=h/y

h=y………..(1)

Step 3:

In angle ABC,

Tan 30=h/(2x+y)

Step 4:

i/ √3 =h/2x+y

2x+y= √3h

Step 5:

Substitute y=h from equation (1)

2x+h= √3h

2x= (√3-1)h

Step 6:

h=(√3+1)x

Hence it is proved

Answer 2

Answer:Step 1:

Given Data:

Length of a tower is 2x

To prove the height of the tower is x(root 3 +1) metre

Step 2:

In angle BCD,

tan 45=h/y

h=y………..(1)

Step 3:

In angle ABC,

Tan 30=h/(2x+y)

Step 4:

i/ √3 =h/2x+y

2x+y= √3h

Step 5:

Substitute y=h from equation (1)

2x+h= √3h

2x= (√3-1)h

Step 6:

h=(√3+1)x

Proved

Step-by-step explanation: