5.2A Law of Cosines

In this example you will use both Law of Sines and Law of Cosines

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Part 1: Begin by using the Law of Cosines to solve for side length l, the length of the flagpole. Round to the nearest whole number.

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Part 2: Next, use the Law of Sines and your answer from Part 1 to find the angle between the ground and the flagpole. Try to avoid significant error from rounding your intermediate calculations. Use the nearest whole degree in your final answer.

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A bike race follows a triangular path, represented by \triangle{ABC}. If A is the starting point and the measure of the angle at point B is {70}\degree, what is the measure of the angle formed by path BC and path CA? Round to the nearest tenth degree.

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Two students are solving for d in the triangle shown, using the Law of Cosines. Rex says the answer is 20 in., and Bev says the answer is 20.3 in. Is either student incorrect? Expain your reasoning.

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The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

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The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

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In \triangle{PQR}, p=5, q=8, and r=9. What is the measure of \angle{P}? Round to the nearest tenth degree.

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In \triangle{PQR}, p=14, q=6, and r=12. What is the measure of \angle{P}? Round to the nearest tenth degree.

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5.2A Law of Cosines

Part 1: Begin by using the Law of Cosines to solve for side length l, the length of the flagpole. Round to the nearest whole number.

Part 2: Next, use the Law of Sines and your answer from Part 1 to find the angle between the ground and the flagpole. Try to avoid significant error from rounding your intermediate calculations. Use the nearest whole degree in your final answer.

A bike race follows a triangular path, represented by \triangle{ABC}. If A is the starting point and the measure of the angle at point B is {70}\degree, what is the measure of the angle formed by path BC and path CA? Round to the nearest tenth degree.

Two students are solving for d in the triangle shown, using the Law of Cosines. Rex says the answer is 20 in., and Bev says the answer is 20.3 in. Is either student incorrect? Expain your reasoning.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

In \triangle{PQR}, p=5, q=8, and r=9. What is the measure of \angle{P}? Round to the nearest tenth degree.

In \triangle{PQR}, p=14, q=6, and r=12. What is the measure of \angle{P}? Round to the nearest tenth degree.

Find the measure of \angle{Z}
Round to the nearest tenth degree.

Part 1: Begin by using the Law of Cosines to solve for side length l, the length of the flagpole. Round to the nearest whole number.

Part 2: Next, use the Law of Sines and your answer from Part 1 to find the angle between the ground and the flagpole. Try to avoid significant error from rounding your intermediate calculations. Use the nearest whole degree in your final answer.

A bike race follows a triangular path, represented by \triangle{ABC}. If A is the starting point and the measure of the angle at point B is {70}\degree, what is the measure of the angle formed by path BC and path CA? Round to the nearest tenth degree.

Two students are solving for d in the triangle shown, using the Law of Cosines. Rex says the answer is 20 in., and Bev says the answer is 20.3 in. Is either student incorrect? Expain your reasoning.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

In \triangle{PQR}, p=5, q=8, and r=9. What is the measure of \angle{P}? Round to the nearest tenth degree.

In \triangle{PQR}, p=14, q=6, and r=12. What is the measure of \angle{P}? Round to the nearest tenth degree.

Find the measure of \angle{Z}
Round to the nearest tenth degree.

5.2A Law of Cosines

5.2A Law of Cosines

Part 1: Begin by using the Law of Cosines to solve for side length l, the length of the flagpole. Round to the nearest whole number.

Part 2: Next, use the Law of Sines and your answer from Part 1 to find the angle between the ground and the flagpole. Try to avoid significant error from rounding your intermediate calculations. Use the nearest whole degree in your final answer.

A bike race follows a triangular path, represented by \triangle{ABC}. If A is the starting point and the measure of the angle at point B is {70}\degree, what is the measure of the angle formed by path BC and path CA? Round to the nearest tenth degree.

Two students are solving for d in the triangle shown, using the Law of Cosines. Rex says the answer is 20 in., and Bev says the answer is 20.3 in. Is either student incorrect? Expain your reasoning.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

In \triangle{PQR}, p=5, q=8, and r=9. What is the measure of \angle{P}? Round to the nearest tenth degree.

In \triangle{PQR}, p=14, q=6, and r=12. What is the measure of \angle{P}? Round to the nearest tenth degree.

Find the measure of \angle{Z}Round to the nearest tenth degree.

Part 1: Begin by using the Law of Cosines to solve for side length l, the length of the flagpole. Round to the nearest whole number.

Part 2: Next, use the Law of Sines and your answer from Part 1 to find the angle between the ground and the flagpole. Try to avoid significant error from rounding your intermediate calculations. Use the nearest whole degree in your final answer.

A bike race follows a triangular path, represented by \triangle{ABC}. If A is the starting point and the measure of the angle at point B is {70}\degree, what is the measure of the angle formed by path BC and path CA? Round to the nearest tenth degree.

Two students are solving for d in the triangle shown, using the Law of Cosines. Rex says the answer is 20 in., and Bev says the answer is 20.3 in. Is either student incorrect? Expain your reasoning.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

In \triangle{PQR}, p=5, q=8, and r=9. What is the measure of \angle{P}? Round to the nearest tenth degree.

In \triangle{PQR}, p=14, q=6, and r=12. What is the measure of \angle{P}? Round to the nearest tenth degree.

Find the measure of \angle{Z}Round to the nearest tenth degree.

Find the measure of \angle{Z}
Round to the nearest tenth degree.

Find the measure of \angle{Z}
Round to the nearest tenth degree.