Solving Practical Problems (HSC SSCE Mathematics Standard): Quizzes

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Solving Practical Problems
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Which application is mentioned for practical trigonometry?

Finding width of rivers

What should you draw in Step 2 of the problem-solving approach?

Right-angled triangle with labels

Which ratio uses opposite and hypotenuse?

sinθ=oh\sin \theta = \frac{o}{h}

Which ratio should you use when you have opposite and adjacent sides?

tanθ=oa\tan \theta = \frac{o}{a}

What must you use to find an unknown angle?

Inverse trigonometric functions

For the tent pole: 3m rope at 29° angle. Which ratio finds the height?

Sine (opposite and hypotenuse)

In the tent pole problem, what is x=3×sin29°x = 3 \times \sin 29° rounded to 2 decimal places?

1.451.45 m

Roof problem: 4.5m sheet, 4m wide shed. Which ratio finds the angle?

Cosine (adjacent and hypotenuse)

Why is 1.45m reasonable for tent pole height with 3m rope?

Height is less than rope length

How should you express your final answer?

In words with correct units

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