We are learning trigonometry functions in my pre-calc class.

Score: 0 of 1 pt 8 of 46 (7 complete) V X 7.4.23 Find the exact value of cos(a + B) if sin a = ; and sin B = 75, with a in quadrant II and B in quadrant I. cos(a + B) = (Simplify your answer. Type a fraction.)Complete the following statement. sin 20 = - 1 - cos 20 2 , so sin 2 8x = sin 20 = - 1 - cos 20 2 so sin 28x = (Simplify your answer. Use integers or fractions for any numbers in the expression.)Complete the following statement. cos 20 = 1 + cos 20 2 -, SO COS 26x = cos 20 = 1 + cos 20 2 , SO cos 26x = (Simplify your answer. Use integers or fractions for any numbers in the expression.)Complete the following statement. sin 26 = 2 sin 6 cos 6, so sin 54:: = sin 54):: D (Use integers or fractions for any numbers in the expression.) Find all solutions, expressed in radians. 23ln2t= t=|:| + m or t=|:|+ am, where n is any integer. (Simplify your answer. Type an exact answer, using 1: as needed. Use ascending order. Use integers or fractions for any numbers in the expression.) Solve the triangle. a = 35.99 B = 18.58 c= 16.25 Y= o (Type an integer or a decimal.) a ~ (Do not round until the final answer. Then round to the nearest hundredth as needed.) (Do not round until the final answer. Then round to the nearest hundredth as needed.)Solve the triangle, if possible. Select the comet choice below and, if necessary, ll in the answer box to complete your choice. (Round side lengths and angles measures to the nearest tenth as needed.) 0 A. There are two possible solutions for the triangle. The measurements for the solution with the acute angle Bare as follows. 1zD,y1aD\Solve the triangle, if possible. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. (Round side lengths to the nearest tenth and angle measures to the nearest minute as needed. Round all intermediate values to four decimal places as needed.) 0 A. There are two possible solutions for the triangle. The measurements for the solution with the acute angle [3 are as follows. [31 as |:||:|'. 71 z |:||:|', and 01 a [I The measurements for the solution with the obtuse angle [5 are as follows. I [32 as [H] . 72 it: |:||:|', and CZ a [I O B. There is only one possible solution for the triangle. The measurements for the remaining angles [i and y and the side c are as follows. qumDme O C. There are no possible solutions for this triangle. 1t} The plane shown in the gure is taking an aerial photograph with a camera lens that has an angular coverage of 75. The ground below is inclined at 5. If the angle of elevation of the plane at B is 54" and distance BC is 3900 feet, estimate the ground distance AB (to the nearest foot) that will appear in the picture. AB=|:|ft (Round to the nearest foot as needed.) Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby Z fence. The angle of elevation of the tree from one position on a at path from the tree is H = 40, and from a T - second position L =40 feet farther along this path it is B = 30. What is the height of the tree? i H L 't W XKLDIY The height of the tree is approximately |:| ft. (Do not round until the nal answer. Then round to the nearest tenth as needed.) A balloonist is directly above a straight road 1.8 miles long that joins two towns. She nds that the town closer to her is at an angle of depression of 34 and the farther town is at an angle of depression of 33\". How high above the ground is the balloon? The balloonist is about U miles above the ground. (Round the nal answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.) Find the value of B in the triangle. 6mm\" (Simplify your answer. Round to the nearest tenth as needed.) 15 13 Andrea and Carlos left the airport at the same time. Andrea flew at 180 mph on a course with a bearing of 80 , and Carlos flew at 230 mph on a course with a bearing of 210. Find the approximate distance between them after 6 hours. N 80 0 Andrea 210 0 Carlos After 6 hours, they were about miles apart. (Type an integer or decimal rounded to the nearest tenth as needed.)A parallelogram has sides of length 13.1 cm and 14.7 cm. The longer diagonal has length 25.7 cm. Find the angle opposite the longer diagonal. What is the degree measure of the angle opposite the longer diagonal? D 0 (Round to the nearest tenth as needed.) Airports A and B are 473 km apart, on an east-west line. Jim flies in a northeast direction from A to airport C. From C he flies 337 km on a bearing of 126 10' to B. How far is C from A? The distance between C and A is km. (Round to the nearest kilometer as needed.)