Perpendicular 7712

Calculate the length of the shadow of a ladder 8 m long leaning against a 6 m high wall. (the sun shines perpendicular to the ladder - see picture).

Correct answer:

s =  11.2915 m

Step-by-step explanation:

$$\begin{gathered} c=8\text{m} \\ a=6\text{m} \\ b=\sqrt{c^2-a^2}=\sqrt{8^2-6^2}=2\sqrt{7}\text{m}\doteq 5.2915\text{m} \\ s=a+b=6+5.2915=11.2915\text{m} \end{gathered}$$

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