Question

Question 2 v < Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point Con land such that CAB = 54.7. Find the distance across the lake from A to B. B 466 yd 54.7° 4 с 391 yd NOTE: The triangle is NOT drawn to scale. The distance across the lake from point A to B is yd. Round answer to the nearest hundredth. Submit Question

Answer 1

solution B 466 yd с A t 54-72 39140 By applying cosêne law (BC)?= (AC) + (48)2- 2(40) (AB) cos(CAB) = (466)2 = (391)el2 + (4B)2– 2x391x(48) * COS(5407") (46)– 454.885* (46) +(391)2-466)2.po = (AB)2- 457.885 * (48) Ret distance between A and B is xyd, + X2- 457.8858 – 64275-0 Here Roots of the quadrafic equation are, X = -(~4540885) +1/-454 +7(451.885)? (4 Xo6 4275x1) 64275 30 2 X 451.885 IV (451.885)2 + (4X64275) 2 xa 4570885 I 679.19 2 113.65 565.54 g as value. so Distance never x = 565.54 yal. " Distance between A and B point is 565.54 yd. IT > be negatêre

Distance between point A and B is 565.54 yd i.e approximately 600 yd.