QCEVault

Trigonometry — Question 335

Original QCE Vault practice · 6 marks

Q335 · Practice questionTechnology-freeComplex unfamiliar6 marks

QUESTION 335 (6 marks)

Two sides of a triangular fabric panel have total length 2020 m and meet at 60∘60^\circ. Their lengths are xx and 20−x20-x metres.
Triangle with sides x and 20-x enclosing a 60-degree angle. Not to scale.
a)
Determine the value of xx giving the largest area, and that exact area.
[3 marks]
b)
In a trial production process, XX is uniformly distributed on [4,16][4,16]. Determine the probability that a panel's area is at least 243 m224\sqrt3\ \mathrm{m}^2.
[3 marks]
Question linkSyllabus coverage

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