Exam 7: Triangles

Draw a vector representing the course of a ship that goes  miles on a course with direction . ​

A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 35°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 36°. At that time, what is the distance between him and his friend? (Give your answer to the nearest foot.) ​

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

Refer to triangle ABC . If m, m, and , find a . Apply the rules regarding the use of significant digits after all computations are complete. ​

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

Find the angle θ  between the given vectors to the nearest tenth of a degree. ​ ​ __________°

A plane has an airspeed of 175 miles per hour and heading of 30.0°. The ground speed of the plane is 206 miles per hour, and its true course is the direction of 34.0°. Find the speed and direction of the air currents, assuming they are constants. Apply the rules regarding the use of significant digits after all computations are complete.​ __________ mph at __________° from due to north

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

Triangle ABC is described below. Find all possible values for B, C, and c .  cm,  cm Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. ​

Find the area of a parallelogram if the two sides measure 24.7 inches and 31.1 inches and the shorter diagonal is 32.9 inches. Round your answer to three significant digits. S = __________ inches²

Find the magnitude of the vector.   ​

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

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. ​ Work = __________ ft-lb

The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. Find the length of the longer side. __________ m

Find all solutions to the triangle described below.   km,   km ​Apply the rules regarding the use of significant digits to each angle and length 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. __________ yd

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

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. ​

Refer to triangle ABC . If yd, yd, and yd, find the largest angle. 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 a Apply the rules regarding the use of significant digits. ​