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Use your calculator to work out $$\frac{\sqrt{5.7^2} + \tan 60^{\circ}}{7.2^2}$$ Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 2

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Question 9

Use-your-calculator-to-work-out-$$\frac{\sqrt{5.7^2}-+-\tan-60^{\circ}}{7.2^2}$$-Give-your-answer-correct-to-3-significant-figures.-Edexcel-GCSE Maths-Question 9-2022-Paper 2.png

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

Worked Solution & Example Answer:Use your calculator to work out $$\frac{\sqrt{5.7^2} + \tan 60^{\circ}}{7.2^2}$$ Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 2

Step 1

Calculate \(\sqrt{5.7^2}\)

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Answer

First, calculate the square root of (5.7^2): 5.72=5.7\sqrt{5.7^2} = 5.7.

Step 2

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

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Answer

Next, calculate (\tan 60^{\circ}): tan⁡60∘=3≈1.732.\tan 60^{\circ} = \sqrt{3} \approx 1.732. So, we have: 5.7+1.732≈7.432.5.7 + 1.732 \approx 7.432.

Step 3

Calculate \(7.2^2\)

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Answer

Now, calculate (7.2^2): 7.22=51.84.7.2^2 = 51.84.

Step 4

Final Calculation

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Answer

Finally, combine the results: 7.43251.84≈0.143.\frac{7.432}{51.84} \approx 0.143. Rounding this value to 3 significant figures, we obtain: 0.1430.143.

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