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

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

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

NOT D
NOT B

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

A

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

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

C

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

C

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

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

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

A