Law of Cosines

Based on the diagram below, which expression can be used to determine the distance between Seattle, WA, and San Francisco, CA? mc014-1.jpg [Not drawn to scale]

A

What is the approximate measure of angle T in the triangle below? mc004-1.jpg

A

Which equation can be used to solve for angle N in the triangle below? mc002-1.jpg

A

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?

B

Bethany used the steps below in an attempt to solve for angle B in triangle ABC. mc010-1.jpg mc010-2.jpg Where is Bethany's error?

C

What is the approximate length of the missing side in the triangle below? mc007-1.jpg

C

What is the approximate length of the third side of the triangle below? mc006-1.jpg

C

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?

D

In triangle MNO, MN = 20 units, NO = 15 units, and MO = 18 units. What is the approximate difference between the largest and smallest angle measures?

D

Which equation can be used to solve for x in the triangle below? mc003-1.jpg

NOT D NOT B