## Exam-Style Question on Approximation## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 210. This question is similar to one that appeared on an IB Studies paper in 2015. The use of a calculator is allowed.

If \( w = 12, x = 45°, y = \frac12 \text{and } z = 14\) calculate:

(a) the exact value of \(A\);

(b) the value of \(A\) to two significant figures;

(c) the value of \(A\) to three decimal places;

Rosie estimates the value of \(A\) to be 0.0012.

(d) Calculate the percentage error in Rosie's estimate.

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