Question

If the ratio of the height of a tower and the length of its shadow is 3: 1, what is the angle of elevation of the Sun

Answer 1

Step-by-step explanation:

Let the height of tower.AB=hm

The length of shadow BC=xm

According to given question,

BC

AB

=

1

3

x

h

=

1

3

We know that,

In ΔABC,

BC

AB

=tanθ

tanθ=

x

h

tanθ=

1

3

tanθ=

3

tanθ=tan60

o

θ=60

o

Hence, the angle of elevation is 60

o

.