Each problem below refers to triangle ABC. If a = 120 inches, b = 66 inches, and

Question

Each problem below refers to triangle ABC. If a = 120 inches, b = 66 inches, and C = 60 degree, find c If a = 120 inches, b = 66 inches, and C = 120 degree, find c. If a = 22 yd, b = 24 yd, and c = 26 yd, find the largest angle. If a = 13 yd, b = 14 yd, and c = 15 yd, find the largest angle. If b = 4.2 m, c = 6.8 ml, and A = 116 degree, find a. If a = 3.7 m, c = 6.4 m, and b = 23 degree, find b. If a = 38 cm, b = 10 cm, and c = 31 cm, find the largest angle. If a = 51 cm, b = 24 cm, and c = 31 cm, find the largest angle. Solve each triangle below. a = 410 m, c = 340 m, B = 151.5 degree a = 76.3 m, c = 42.8 m, B = 16.3 degree a = 0.48 yd, b = 0.63 yd, c = 0.75 yd a = 48 yd, b = 75 yd, c = 63 yd b = 0.923 km, c = 0.387 km, A = 43 degree 20' b = 63.4 km, c = 75.2 km, A = 124 degree 40' a = 4.38 ft, b = 3.79 ft, c = 5.22 ft a = 832 ft, b = 623 ft, c = 345 ft Use the law of cosines to show that, if A = 90 degree, then a^2 = b^2 + c^2. Use the law of cosines to show that, if a^2 = b^2 + c^2, then A = 90 degree. The diagonals of a parallelogram are 56 inches and 34 inches and intersect at an angle of 120 degree. Find the length of the shorter side. The diagonals of a parallelogram are 14 m and 16 m and intersect at an angle of 60 degree. Find the length of the longer side. Two planes leave an airport at the same time. Their speeds are 130 mph and 150 mph. and the angle between their courses is 36 degree. How far apart are they after 1.5 hours? Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 18 mph, while the second is traveling at a constant 22 mph. If the angle between their courses is 123 degree, how far apart are they after 2 hours? Two planes take off at the same time from an airport. The first plane is flying at 246 mph on a course of 135.0 degree. The second plane is flying in the direction 175.0 degree at 357 mph. Assuming there are no wind currents blowing, how far apart are they after 2 hours? Two ships leave the harbor at the same time. One ship is traveling at 14 mph on a course with a bearing of S 13 degree W. while the other is traveling at 12 mph on a course with a bearing of N 75 degree E. How far apart are they after 3 hours? A plane is flying with an airspeed of 160 mph and heading of 150 degree. The wind currents are running at 35 mph at 165 degree clockwise from due north. Use vectors to find the true course and ground speed of the plane. A plane is flying with an airspeed of 244 mph with heading 272.7 degree. The wind currents are running at a constant 45.7 mph in the direction 262.6 degree. Find the ground speed and true course of the plane. A plane has an airspeed of 195 mph and a heading of 30.0 degree. The ground speed of the plane is 207 mph. and its true course is in the direction 34.0 degree. Find the speed and direction of the air currents, assuming they are constants.

Explanation / Answer

3) a = 22yd ; b = 24 yd ; c = 26 yd

largest angle would beopposite largest side.

using cosnine rule:

cosC = ( a^2 + b^2 - c^2)/2ab

= (22^2 + 24^2 - 26^2)/2*22*24

= 0.3636

C = 68.67 deg

7) a= 38 ; b = 10 ; c = 31

Largest angle would be opposite a = 38

So, cosA = ( b^2 + c^2 - a^2)/2bc

= ( 10^2 + 31^2 - 38^2)/2*10*31

cosA = -0.6177

A = 180 - 51.85 = 128.148 deg

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