Assignment 11.2: Law of Sines Score: 0H? 0: 1? answered Progress saw . Question 1 v Solve the triangle ABC if b : 125,0 : 163, .213 : 40". a =[ : [A ll degrees; AC _ '. .' degrees; Assume [A is opposite side a, [B is opposite side 6, and [C is opposite side a, and that the triangle is acute. . Question 3 v ( > Using the Law of Sines to find a triangle with one obtuse angle if (A 4 a, a 24, b 26. If no answer exists| enter DNE for all answers. [B is i ' degrees; AC is' ' degrees; a = i . Assume {'A is opposite side a. {'Bis opposite side 5, and /C is opposite side :2. . Question 4 v :30 x Given the triangle , find the length of side 2 using the Law of Sines. Round your final answer to 4 decimal place . 3_ '. Question 5 v ( > A pilot is flying over a straight highway. He determines the angles of depression to two mi leposts, 5.3 mi apart, to be 28' and 49', as shown in the figure. ___________ \ __________ 7 3&2, x *3 , 349 /' \ x, '\ / 5.3 mi \ A 3 NOTE: The picture is NOT drawn to scale. Find the distance of the plane from point A. distance from A = mi Find the elevation of the plane. height = mi Question 6 A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 74'. A guy wire is to be attached to the top of the tower and to the ground, 133 m downhill from the base of the tower. The angle formed by the guy wire is 10'. Find the length of the cable required for the guy wire. NOTE: The picture is NOT drawn to scale. length of guywire = m Enter your answer as a number; your answer should be accurate to 2 decimal places. 0 Question 8 v 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 0113 51.3". Find the distance across the lake from A to B. B 520 m C A 393 m NOE: The triangle is NOT drawn to scale. distance - m Enter your answer as a number; your answer should be accurate to 2 decimal places. 0 Question 9 v Using the Law of Sines to solve the all possible triangles if /A = 10010 = 31,11 = 16. If no answer exists. enter UN! for all answers. 213 is I I degrees 0 is l l degrees C = i ' Assume /A is opposite side r1, {'3 is opposite side it, and /C is opposite side c. Question Help: El Video . Question 12 v 8 Given the triangle I: x , find the length of side 2: using the Lawr of Sines. Round your final answer to 4 decimal places. 2! 0 Question 13 ' 10 Given the triangle , find the length of side I using the Law of Sines. Q Round your final answer to 2 decimal places. The triangle is not drawn to scale. . Question 16 Given the triangle below, find the measure of angle x . Round to two decimal places. Note: picture is NOT drawn to scale but x is obtuse. 37 35 420 Q X degrees Question 17 Use the Law of Sines to solve for the remaining side(s) and angle(s) of the triangle if a = 100%, a = 45, b = 50. Round to two decimal places. As in the text, (a, a), (B, b) and (7, C) are angle-side opposite pairs. If no such triangle exists, enter DNE in each answer box. degrees y degreesAssignment 11.4: Polar Coordinates Score: 3/15 3/15 answered Question 4 Convert the Cartesian coordinate (1, -4) to polar coordinates, 0 Convert the Cartesian coordinate (3, 1) to polar coordinates, 0 Rewrite the polar equation 1" 4035(3) as a Cartesian equation. . Question 13 V Rewrite the Cartesian equation 11 = 432 as a polar equation. '19) = | . Question 14 v Write a. polar equation for the graph below. Enter theta for 3 if needed. rm} = . . Question 7 Write a polar equation for the graph below. Enter theta for 0 if needed. r(0) = . Question 9 2- Write the equation of the circle plotted above in polar coordinates. Enter theta for 0 if needed