Question

19 A straight road passes by a hill. The angle of elevation to the top of the hill is measured from three points A, B and C along the road. Point

B is between points A and C such that AB = BC = 1200 m. The angle of elevation is 12.5° from point A and point B, and 9.5° from point C. Let h m be the height of the hill. Let Y be the top point of the hill and let X be the point vertically below Y at the same level as the road. a Find AX, BX and CX in terms of h.