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Solve a geometry problem involving calculating the length of line LM based on given measurements and trigonometric functions.
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1. In the diagram above, IJK and JML are straight lines. Given that tan x= 2, JL=14cm and IK= 10cm, calculate the length, in cm, of LM.
Solution: In 7cm Given that, IK=10cm
3cm 7cm
2. In the diagram, KLM is a straight line. Which of the angles, A, B, C or D has a sine value of ?
3. In the diagram, QTS is a straight line and QT=3TS. Calculate the value of cos x.