Transcript Slide 1

C
The Canyon Mystery
35°
106°
A
B
?
• To determine the distance AB across a steep
canyon, Megan walks 600yds from point B to
another point, C.
• She then finds that m<ACB=35 and
m<CBA=106.
• Find AB.
C
35°
39°
A
?
106°
B
• The sum of the three interior angles of a
triangle is always 180°.
• A=180-(106-35)=39°
• Angle A is 39°.
C
35°
39°
A
106°
B
?
• The Law of Sines says that one side divided
by the sine of the angle across from it equals
either of the other sides divided by sine of
corresponding opposite angle.
• 600/Sin(39)=c/Sin(35)
• Distance across the canyon is 547yds.