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Question 10 In the diagram below, mZA = 30°, mZD = 45°, and BD = 10. Find AC. Note: The triangle may not be drawn to scale. a
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Answer #1

ZA = 30° 2D = 45 BD =10 Now in ABCDsin 45º = BC (As sin perpendicular hypotenuse 1 - BC As sin 45 V2 - BC = 10 > BC = 582 Bl=512 Now in A ABC we know and LA=30°tan30° - Bu (Astan 30 = 1) AL=5√2x√3 - AC 5VG So A6 = 550 option or

In the end we should always remember that in case of such questions where we have to calculate an edge we must never forget the basic rules of trigonometry i.e., sine, cos and tan for various values of angles and implement them accordingly.

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