Law of Cosines Answers

In order to make a precise cut from point Q to point S using a saw, Alfonso needs to know the angle measure for the angle whose vertex is S. Based on the diagram below, which equation could Alfonso use to determine the measure of angle S?

Four students drew four different triangles in math class. Which triangle can be solved using only the law of cosines?

A roofer sketches a diagram of a house on which he is working. Based on the diagram, about how wide is the house?

A ship heads due north for x miles, then turns 25° east of north and travels for another y miles. Which expression represents the distance the ship is from the original starting point?

A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long when the sun has an unknown angle of elevation. How could the angle of elevation of the sun, x, be determined?

What is the approximate measure of angle T in the triangle below?

What is the approximate length of the third side of the triangle below?

A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Approximately how far is the ship from where it began?

What is the approximate length of the missing side in the triangle below?

Which equation can be used to solve for angle N in the triangle below?