Answer:
[tex]\theta=13.5^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of a flagpole, h = 12 feet
the height of the shadow, b = 50 feet
We need to find the angle of elevation of the sun. Let it is be θ. Using trigonometry to find it.
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{12}{50}\\\\\theta=13.49^{\circ}\\\\or\\\theta=13.5^{\circ}[/tex]
So, the angle of elevation to the sun is equal to [tex]13.5^{\circ}[/tex].
