## Exam-Style Question on Trigonometry 3D## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 481. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

Rectangle ABCD is the horizontal base of a trapezoidal prism ABCDEFGH.

EF is parallel to AB. BC = 20cm, DC = 150mm, GC = 74mm, HG = 86mm and AE = BF.

(a) Find the size of angle ABF.

(b) Show that FD = 242 mm correct to 3 significant figures.

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