本题目来源于试卷: Geometry & Shapes，类别为 IB数学
[问答题]
Farmer Edward owns a triangular field with ratiaa/ i1 w)bexx+:xijj9 o of the sides -abzy() zyb; eagt+(b 15: 15: 15 $\sqrt{2}$ . Edward attaches a rope to a wooden post at the right angle corner of his field, and attaches the other end to his cow Gertie.
1. Given that the rope is 10 $\mathrm{~m}$ long, calculate the percentage of Edward's field that Gertie is able to graze. Give your answer correct to the nearest percent.
Edward replaces the rope with another one, this time of length b metres, 102. Show that b satisfies the equation
$b^{2}\left[\frac{\pi}{4}-\arccos \left(\frac{15 \sqrt{2}}{2 b}\right)\right]+\left(\frac{15 \sqrt{2}}{2}\right) \sqrt{b^{2}-\frac{225}{2}}=101.25$ .
3. Find the value of b . Give your answer correct to two decimal places.
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