Question

The height of a tower is 10 m. What is the length of its shadow when Sun’s altitude is 45°?

Answer 1

Answer:

the length of its shadow is also 10m

Answer 2

Here we have to calculate the length of the shadow using the trigonometric ratio and functions.

Explanation:

So what we are given is as follows:-

Height of the tower = 10 m.

Angle of elevation = 45 Deg.

Let the length of the shadow be  x m.

So adjacent side = x m.

Opp. Side = 10 m (height of the tower).

Now using the ratio  Tan ∅ = Opp. Side / adj. side (when ∅=45 Deg.

We have tan 45 = opp. Side / adj. side

Tan 45 = 10 m / x m.

But tan 45 = 1,

So, we have 1 = 10 m / x m

Or we can say that x = 10 m.

So the length of the shadow will also be equal to 10 m.

(figure attached).