# 8.5 PROBLEM SOLVING LAW OF SINES AND LAW OF COSINES

Use the Law of Sines to solve triangles and problems. How far is the foot of the tower from the ship? A diver is lowered 40 meters to the ocean floor. How far did Megan travel, and what was her average speed? For Problems 7—12, use the Law of Sines to find the indicated angle.

Can we find unknown sides or angles in an oblique triangle? Equate the three different expressions from Problem 47 for the area of the triangle. Solution to Problem 2: Round to two decimal places. Solve the word problem. For Problems 19—26, Sketch and label a triangle to illustrate the problem.

Reducing a new problem to an earlier one is a frequently used technique in mathematics. Because there can be more than one solution for a triangle in which we know two sides and an angle opposite one of them, this situation is called the ambiguous case for the Law of Sines.

Download ppt “Problem Solving with Trigonometry. Round answers to two decimal sinea. Solve triangle problems using the sine law. Auth with social network: How far did Chad walk in each of the two segments of his detour, and how much farther did his detour require compared with a straight line through the pond? To make this website work, we log user data and share it with processors. Points A, B and C are in the same vertical plane. What is the area of his plot of land?

## Solving Triangles – using Law of Sine and Law of Cosine

Find side c and angles B and C if possible. Law of Sines AAS or.

How long is the second line, to the nearest 8.5 To make this website work, we log user data and share it with processors. Approximately how tall is the Eiffel Tower?

Solve the triangle ABC by finding angle B and sides a and b. Do the following when solving trigonometry word problems… 1.

How did we know which one to choose? The top of a signal tower is feet above sea level. Thelma wants to measure the height of a hill. Astronomers use parallax to determine the distance from earth to stars and other celestial objects. Here is a method for solving certain oblique triangles by dividing them into two right triangles.

# Sine Law to Solve Triangle Problems

Grab one of each of the packets up front. My presentations Profile Feedback Log out. For example, an object that is three times as far away as the Sun would be at a distance of 3 AU. Registration Forgot your password?

Amir wants to know the height of a tree in the median strip of a highway. Delbert and Francine are yards apart.

## Sine Law to Solve Triangle Problems

Do the 1 st problem in both. Cosine Law Calculator and Solver.

How far did Megan travel, solvjng what was her average speed? Megan rows her kayak due east. Solutions to Above Exercises 1. Problems 33—38 consider the ambiguous case of the Law of Sines, when two sides and an angle opposite one of them are known.

Delbert and Francine are 40 feet apart on one side of a river.