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Use your calculator to work out $$\frac{\sqrt{5.7} + \tan 60^{\circ}}{7.2^2}$$ Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 2

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Use-your-calculator-to-work-out---$$\frac{\sqrt{5.7}-+-\tan-60^{\circ}}{7.2^2}$$---Give-your-answer-correct-to-3-significant-figures.-Edexcel-GCSE Maths-Question 8-2022-Paper 2.png

Use your calculator to work out $$\frac{\sqrt{5.7} + \tan 60^{\circ}}{7.2^2}$$ Give your answer correct to 3 significant figures.

Worked Solution & Example Answer:Use your calculator to work out $$\frac{\sqrt{5.7} + \tan 60^{\circ}}{7.2^2}$$ Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 2

Step 1

Calculate \(\tan 60^{\circ}\)

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Answer

Using a scientific calculator, we find that (\tan 60^{\circ} = \sqrt{3} \approx 1.732).

Step 2

Calculate \(\sqrt{5.7}\)

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Answer

Next, calculate (\sqrt{5.7} \approx 2.386).

Step 3

Add the results

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Answer

Now, add the results: (\sqrt{5.7} + \tan 60^{\circ} \approx 2.386 + 1.732 = 4.118).

Step 4

Calculate \(7.2^2\)

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Answer

Squaring 7.2 gives (7.2^2 = 51.84).

Step 5

Final calculation

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Answer

Now, compute the final division:
4.11851.84≈0.0796\frac{4.118}{51.84} \approx 0.0796.

Step 6

Round to 3 significant figures

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Answer

Rounding (0.0796) to three significant figures results in (0.080).

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