Use your calculator to work out
$$\frac{\sqrt{1.57^2} + \tan 60^{\circ}}{7.2^2}$$
Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 11 - 2022 - Paper 2
Question 11
Use your calculator to work out
$$\frac{\sqrt{1.57^2} + \tan 60^{\circ}}{7.2^2}$$
Give your answer correct to 3 significant figures.
Worked Solution & Example Answer:Use your calculator to work out
$$\frac{\sqrt{1.57^2} + \tan 60^{\circ}}{7.2^2}$$
Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 11 - 2022 - Paper 2
Step 1
Calculate the square root
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Answer
First, compute the square root:
1.572=1.57
Step 2
Calculate the tangent
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Answer
Next, find the tangent of 60 degrees:
tan60∘=3≈1.732
Step 3
Add results
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Answer
Now add the results from the previous steps:
1.57+1.732=3.302
Step 4
Calculate the denominator
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Answer
Then compute the denominator:
7.22=51.84
Step 5
Divide results
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Answer
Finally, divide the sum by the denominator:
51.843.302≈0.06368
Step 6
Round to three significant figures
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Answer
Rounding the result to three significant figures gives:
