Determine the remaining sides and angles of the triangle ABC. A = 16.46 B=21.84 c= 16.91 m To find the distance AB across a river, a surveyor laid off a distance BC = 354 m on one side of the 354 m river. It is found that B = 115 20' and C = 12"15'. Find AB. The distance AB across the river is m (Simplify your answer. Do not round until the final answer. Then round to the nearest whole number as needed.) A balloonist is directly above a straight road 1.5 miles long that joins two towns, She finds that the town closer to her is at an angle of depression of 40" and the farther town is at an angle of depression of 31". How high above the ground is the balloon? (Not to scale) 1.5 mi The balloonist is about |miles above the ground. (Round the final answer to two decimal places as needed. Round all int Question 1) Pick one of these problems and factor the trigonometric expression 4tan 0 + tan 0 - 3 2. sec20 - 1 . sin3x - cos3x 4. 2sin2x + 3 sinx + 1 Question 3) Pick one of these and find (a) and (b) For #1 and #2 Find (a)cos (x + 0) and (b) cos(x - 0) 1. cos x = - and cos 0 = - , x and 0 in quarant III 2. sin x = = and sin 0 = - -, x in quadrant II and 0 in quadrant IV For #3 and #4 Find (a) sin(x + 0) and (b) tan(x + 0) 3. sin x = = and sin 0 = - , x in quadrant I and 0 in quadrant III 4.cos x = - and sin 0 = =, x in quadrant II and 0 in quadrant I Question 2) Pick one of these and verify that the equations is an identity. 1. sin2x + tan2x + cos2x = sec2x 2. siz = sec 0 - cos 0 3. cot 0 + tano = secocsco 4. sin+0 - cos*0 = 2sin20 - 1 Question 4) Pick one of these and find the values of the indicated functions. 1. Find cos(20) and sin(20) ; given that cos 0 = > and sin 0 > 0 2. Fins sin 0 and cos 0; given that cos 20 = = and 0 terminates in quadrant III 3. Fins sin 0 and cos 0; given that cos 20 = - and 90