Math 2412T2Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. 1) B = 52 b - 29 Determine the number of triangles with the given parts. 2) a = 35, b = 51, a = 26" Find the area of the triangle having the given measurements. Round to the nearest square unit. 3) A = 35, b = 14 inches, c = 6 inches Solve the problem. 4) A surveyor standing 57 meters from the base of a building measures the angle to the top of the building and finds it to be 38". The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 49. How tall is the radio tower? Find a. If necessary, round your answer to the nearest hundredth. Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. 6) a = 5, c = 12, B = 128" Use Heron's formula to find the area of the triangle. Round to the nearest square unit. 9 yards, b - 11 yards, c Use a polar coordinate system to plot the point with the given polar coordinates. 8) (-2. -225) Find another representation, (r. ). for the point under the given conditions. 9) 2. 7 . > 0 and 2nt . U = ; Find ov + Bu. Find the specified vector or scalar. 27) u = -41 + 1) and v = -91 + 1j: Find [ju + v Find the unit vector that has the same direction as the vector v. 28) v = 31 + 41 Write the vector v in terms of i and j whose magnitude [ v | and direction angle 0 are given. 29) |v/ = 10, 0 = 120' Use the given vectors to find the specified scalar. 30) u = -51 + 3J. V = -41 - 6j. W = -31 + 12j: Find u . w + v . w. Find the angle between the given vectors. Round to the nearest tenth of a degree. 31) u = 31 - 2j, v - -51 - 7] Find projwV. 32) v = 1 - 3j: w - 51 + 12j Solve the problem. 33) A person is pulling a freight cart with a force of 40 pounds. How much work is done in moving the cart 70 feet if the cart's handle makes an angle of 32" with the ground