Rake tree distance

Emma was raking leaves in the garden. During lunch, she leaned the 170 cm long rake against a tree, with the upper end reaching a height of 90 cm. How far from the tree was the bottom of the rake? Enter the result in whole centimeters.

Final Answer:

b =  144.2221 cm

Step-by-step explanation:

$$\begin{gathered} c=170\text{cm} \\ a=90\text{cm} \\ {c}^2=a^2+b^2 \\ b=\sqrt{c^2-a^2}=\sqrt{170^2-90^2}=40\sqrt{13}=144.2221\text{cm} \end{gathered}$$

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