Sun and shadow

The pole is stuck vertically into the ground. The protruding length is 1 m. What is the length of the shadow cast when the sun is just 50° above the horizon?

Final Answer:

s =  0.8391 m

Step-by-step explanation:

$$\begin{gathered} a=1\text{m} \\ \alpha =50°=50 \\ \tan \alpha =a:s \\ s=\frac{a}{\tan \alpha }=\frac{a}{\tan 50°}=\frac{1}{\tan 50°}=\frac{1}{1.191754}=0.839=0.8391\text{m} \end{gathered}$$

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