Question:
The height of a tower is 10 m. What is the length of its shadow when Sun's altitude is 45°?
Solution:
Let be the length of shadow is m
Given that: Height of tower is meters and altitude of sun is
Here we have to find length of shadow.
So we use trigonometric ratios.
In a triangle,
$\Rightarrow \tan C=\frac{A B}{B C}$
$\Rightarrow \tan 45^{\circ}=\frac{A B}{A C}$
$\Rightarrow 1=\frac{10}{x}$
$\Rightarrow x=10$
Hence the length of shadow is $10 \mathrm{~m}$.