PrepSwift Quant Tickbox Quiz #10 (Geometry Column 1) Question 25

For the last question on quiz #10, why does greg solve it with pythagorean theorem so the result of AD is 17.4 and not with the 30 -60-90 rule like i did below where AD = 30

It should be 2 \times 5 \sqrt{3} not 2 \times 15 going by your sketch

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thank you!