Exam 7: Triangles

The problem that follows refers to triangle ABC .​ If  and  inches, find c . Apply the rules regarding the use of significant digits after all computations are complete. __________ inches

If you have ever ridden on a chair lift at a ski area and had it stop, you know that the chair will pull down on the cable, dropping you down to a lower height then when the chair is in motion. The figure shows a gondola that is stopped. Find the magnitude of the tension in the cable toward each end of the cable if the total weight of the gondola and its occupants is 1,900 pounds. Apply the rules regarding the use of significant digits after all computations are complete. ​a ​ = 71.6,  ​b ​ = 74.6 ​ ​

Solve the triangle. ​ km,  km,  ​ Apply the rules regarding the use of significant digits after all computations are complete. ​

The problem that follows refers to triangle ABC . ​ If  and  yd, find a Apply the rules regarding the use of significant digits after all computations are complete. ​

Solve the triangle. m, m, ​ Apply the rules regarding the use of significant digits after all computations are complete. __________ m ​ __________° ​ __________°

For the pair of vectors, find  ​,   and  . ​ ,  ​  

Consider triangle ABC described below. Find the possible values for B, C, and c .  ft,  ft How many different possible triangles are there? __________ ( no solution / two solutions / one solution )Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. _______°   _______°   _______ ft

For the pair of vectors, find  ,  , and  . ​   ​   ​ ​

Solve the triangle. ​ ​ Apply the rules regarding the use of significant digits after all computations are complete. ​

If you have ever ridden on a chair lift at a ski area and had it stop, you know that the chair will pull down on the cable, dropping you down to a lower height then when the chair is in motion. The figure shows a gondola that is stopped. Find the magnitude of the tension in the cable toward each end of the cable if the total weight of the gondola and its occupants is 1880 pounds. Apply the rules regarding the use of significant digits after all computations are complete.​ ​a ​ = 71.8,  ​b ​ = 75.8 ​ ​ __________ lbs ​ __________ lbs

Referring to triangle ABC, find the area of the triangle. a = 23 inches, b = 34 inches, c = 43 inches Round to three significant digits. S = __________ inches²

Referring to triangle ABC, find the area of the triangle. ​ Round to three significant digits. S = __________ km²

The information below refers to triangle ABC .  cm ​Find all the missing parts. Apply the rules regarding the use of significant digits after all computations are complete. ​

The problem that follows refers to triangle ABC . ​ If  and  cm, find C  and a Apply the rules regarding the use of significant digits after all computations are complete. ​

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

For the pair of vectors, find . ​

A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is ​b ​ = 63°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 42°. Find the height of the antenna to the nearest foot. ( Hint : Find x  first.)​ ​ __________ ft

A plane headed due south is traveling with an airspeed of 200 miles per hour. The wind currents are moving with constant speed in the direction 330°. If the ground speed of the plane is 100 miles per hour, what is its true course? ​

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Find the magnitude of the vector and the angle ,  , that the vector makes with the positive x -axis. ​ ​