Question

+8+7 ( 1800) (8d) 3. To find the distance across a highway, a surveyor chooses points A and B, which are (100 +10*N) m apart on one side of the highway (see Fig. 2; the highway is located between the side e and a reference point C- the vertex of the triangle). She then chooses the reference point C on the opposite side of the highway and finds that the angle a (70- N)0 and angle B-(.Approximate the distance afrom B to C. a-668 β: 32。 If tan θ = z then θ arctan(z) = tan-1(2)-inverse tangent rune to For evaluating the trigonometric functions use a scientific calcula www.meta-calculator.com. To solve a triangle means to determine its three sides and three a data of a problem. Fig. 2 The Law of Sines c /(sin γ)-2R-the doubled ortices of the triang h /(sin β) in g)

Answer 1

80° 68 0 32° 2 1 20 Use Low of Sines, i.e. BC Sin(68 Sin(Lc) SinLC) 180°-(LA +LB) : 180% (68"432。)-180-100° LCa LC80 S0, CSinl8) x 120 * 112.98 sin (80)