Law of Cosines Answers

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?

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?

An archer fires two arrows into a raised target, as represented in the diagram below. About how much greater of an angle did the archer need to use in order for the second arrow to land 7 feet higher than the first arrow?

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

In triangle RST, RS = 6 cm, ST = 7 cm, and RT = 8 cm. What is the approximate measure of the largest angle in the triangle?

Bethany used the steps below in an attempt to solve for angle B in triangle ABC. Where is Bethany’s error?

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

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?