Problem 1SP: Solve ABC with B=61 , c=19 , and a=28 . Round the measures of the unknown side and angles to 1... Problem 2SP: Solve ABC with a=62 , b=48 , and c=41 . Round the measures of the angles to the nearest tenth of a... Problem 3SP: Repeat Example 3 with the initial bearing of the Coast Guard ship N17W at a speed of 18mph for 3hr . Problem 4SP: Find the area of a triangle with sides of length a=15.4m , b=22.6m , and c=26m . Round to the... Problem 1PE: In which situation (s) can the law of cosines be used to solve for the remaining angles and sides of... Problem 2PE: Given ABC with sides a,b , and c opposite vertices A,B , and C , write an expression for a2 in terms... Problem 3PE: Given ABC with sides a,b , and c opposite vertices A,B , and C , write an expression for cos B in... Problem 4PE: Given a triangle of sides of lengths a,b , and c , Heron's formula gives the area of the triangle as... Problem 5PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 6PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 7PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 8PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 9PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 10PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 11PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 12PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 13PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 14PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 15PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 16PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 17PE Problem 18PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 19PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 20PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 21PE Problem 22PE: For Exercises 5-22, solve ABC subject to the given conditions if possible. Round the lengths of... Problem 23PE: A boat leaves port and follows a course of N77E at 9 knots for 3hr and 20min . Then, the boat... Problem 24PE: A fishing boat leaves a marina and follows a course of S62W at 6 knots for 20min . Then the boat... Problem 25PE: Two planes leave the same airport. The first plane leaves at 1:00P.M . and averages 480mph at a... Problem 26PE: Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39E , and... Problem 27PE: A 40-ft boom on a crane is attached to the crane platform at point D . A cable is attached to the... Problem 28PE Problem 29PE: A regulation fast-pitch softball diamond for high school competition is a square, 60ft on a side.... Problem 30PE: The Flatiron Building in New York City is said to have gotten its name because its cross-section... Problem 31PE: The distance between Dallas, Texas, and Atlanta, Georgia, on a map is 11.75in . The distance from... Problem 32PE: A bicyclist is at point A on a paved road and must ride to point C on another paved road. The two... Problem 33PE: A 150-ft tower is anchored on a hill by two guy wires. The angle of elevation of the hill is 8 .... Problem 34PE: A 75-ft tower is located on the side of a hill that is inclined 26 to the horizontal. A cable is... Problem 35PE: In Exercises 35-38, use Heron's formula to find the area of the triangle with sides of the given... Problem 36PE: In Exercises 35-38, use Heron's formula to find the area of the triangle with sides of the given... Problem 37PE: In Exercises 35-38, use Heron's formula to find the area of the triangle with sides of the given... Problem 38PE: In Exercises 35-38, use Heron's formula to find the area of the triangle with sides of the given... Problem 39PE: A triangular sail for a Bolger Tortise sailboat (named after boat designer Phil Bolger) has sides of... Problem 40PE: Find the area of the grassy region from Exercise 28. Round to the nearest square foot. Problem 41PE: A farmer wants to fertilize a triangular field with sides of length 300yd,220yd , and 180yd .... Problem 42PE: An artist lays down a white triangular background on a building on which she will paint a Penrose... Problem 43PE: For Exercises 43-46, the vertices of a triangle are defined by the given points. To the nearest... Problem 44PE: For Exercises 43-46, the vertices of a triangle are defined by the given points. To the nearest... Problem 45PE: For Exercises 43-46, the vertices of a triangle are defined by the given points. To the nearest... Problem 46PE: For Exercises 43-46, the vertices of a triangle are defined by the given points. To the nearest... Problem 47PE: Three mutually tangential circles with radii located at A,B , and C , have radii of2ft,3ft , and4ft... Problem 48PE Problem 49PE: A parallelogram has adjacent sides of 12.2cm and 9.6cm and the included angle is 62.5 . To the... Problem 50PE: A regular octagon (8- sided figure with sides of equal length) is inscribed in a circle of radius... Problem 51PE: Why is the law of sines not an option to solve a triangle given SAS or SSS? Problem 52PE: To solve a triangle given SAS , the law of cosines is used first to find the length of the side... Problem 53PE: Given the lengths of the three sides of a triangle SSS , why is the law of cosines used to find the... Problem 54PE: When applying the law of cosines (or law of sines) how can you minimize round-off error? Problem 55PE: Suppose that ABC is a right triangle with right angle at vertex C . What is the result when the law... Problem 56PE: If the measures of the three angles in a triangle are known, can you solve for the lengths of the... Problem 57PE: A piston in an engine is attached to a connector rod of length L at the wrist pin at point P . As... Problem 58PE: Use the law of cosines to show that cosAa+cosBb+cosCc=a2+b2+c22abc Problem 59PE: Use the law of cosines to show that a=bcosC+ccosB Problem 60PE Problem 1PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 2PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 3PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 4PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 5PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 6PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 7PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 8PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 9PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 10PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 11PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 12PRE: For Exercises 1-12, solve ABC subject to the given conditions, if possible. Round the lengths of the... Problem 13PRE: Refer to the figure. Find the indicated values to the nearest hundredth of a centimeter or hundredth... Problem 14PRE: Use the right triangles APB and APC to show that for ABC , the length of side a is given by... Problem 15PRE: A hiking trail is roughly in the shape of a circle with radius 2000ft . Suppose that a rectangular... format_list_bulleted