Foundation November 2017 Paper 1 Q19

OCRFoundationCurrent spec6 marksBasic TrigonometryPythagoras

19 In the diagram below, ABCD is a trapezium.

Trapezium ABCD with DC parallel to AB. E and F are on AB with DE and CF perpendicular to AB. AD = 62.5 cm, AE = 37.5 cm, CB = 80 cm, and angle x is at B

Not to scale

Length AE is 37.5 cm.
DE = CF

Find the value of angle \(x\). [6]