I 1: Given the triangle , find the length of side I using the Lav.r of Sines. Round iour final answer to 4 decimal places. Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale, but you can assume an angle that appears acute is acute and angle that appears obtuse is obtuse. 28 27 35 0 A X a degreesGiven the triangle 13 * , find the length of side a using the Law of Sines. Round your final 39 26 answer to 4 decimal places. C =Using the Law of Sines to solve the triangle if LA = 35", 0 = 74". b = 18 : Bis|:] degrees; You may round to two decimal places. Assume 1A is opposite side a. 3 is opposite side 6, and 16' is opposite side as. Using the Law of Sines to solve the all possible triangles if 21A 2 106", a. = 25, b 2 ll]. If no answer exists. enter DNE for all answers. /_'B is |:] degrees if) is Assume LA is opposite side 0., LB is opposite side 5, and AC is opposite side 6. degrees Using the LawI of Sines to solve for all possible triangles if /_'B = 50, a. = 104, E = 49. If no answer exists. enter DNE for all answers. AA is :] degrees (16' is Assume AA is opposite side a, LB is opposite side 5, and AC is opposite side :2. degrees Remember, even if you enter an answer rounded to a set number of decimal places, if you use that number in a future calculation, you should use all of the decimal places reported on your calculator! Solve triangle ABC if 1A = 36.6" , a = 136.2, and b = 243.4. sin B = | | {round answer to 5 decimal places] There are two possible angles 3 between CI" and 130" with this value for sine. Find the two angles, and report them so that 131 is the acute angle. 431 = ' and .532 = .. {round these and all remaining answers to 1 decimal place} Thus. two triangles satisfy the given conditions: triangle A13101 and triangle 11-33203. Solve the first triangle: 21113101 01=| I andc1=| I Solve the second triangle: A23202 ZC2=| landc2=| l Using the LemI of Sines to find a triangle with one obtuse angle if (LA = 48", e = 34, b = 35. If no answer exists. enter DNE for all answers. AB is :] degrees; AC is Assume AA is opposite side 0., AB is opposite side b, and AC is opposite side at. degrees; Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such than _CAB = 51.5 . Find the distance across the lake from A to B. B 475 m 51.5 C 379 m NOTE: The triangle is NOT drawn to scale. distance = m Enter your answer as a number; your answer should be accurate to 2 decimal places.A communication: tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 1'6". Aguy wire is to be attached to the top of the tower and to the ground, 159 yd downhill from the base of the tower. The angle formed by the guy wire is 7". Find the length of the cable required for the guy wire. NOTE: The picture is NOT drawn to scale. length of guy-wire - - I yd Enter your answer as a number; your answer should be accurate to 2 decimal places. A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.1 km apart, to be 29" and 52" , as shown in the figure. 290 520 6.1 km A B a NOTE: The picture is NOT drawn to scale. Find the distance of the plane from point A. distance from A = km Find the elevation of the plane. height = km Enter your answer as a number; your answer should be accurate to 2 decimal places