In the figure below, PQ is parallel to RS. The lines PS and RQ intersect at T. RQ = 10 cm, RT:TQ = 3:2, angle PQT = 40° and angle RTS - 80°.
(a) Find the length of RT.
(b) Determine, correct to 2 significant figures:
(i) the perpendicular distance between PQ and RS;
(ii) the length of TS.
(c) Using the cosine rule, find the length of RS correct to 2 significant figures.
(d) Calculate, correct to one decimal place, the area of triangle RST.
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