The triangles ABD, ADC and ABC are similar (AA stands for "angle, angle" and means that the triangles have two of their angles equal).
If two triangles have two of their angles equal, the triangles are similar.
Therefore the sides of triangles are in proportion.

cross multiply

Use the Pythagorean theorem for calculate x:

7/12 = 0.58 = 58% of a mile
3/4 = 0.75 = 75% of a mile
Lamar ran farther.
complement means the sum of the two angles equals 90°
32° 22min 44 sec + x = 90° 0min 0 sec
Note: 90° = 89° 59 min 60 sec
- <u> 32° 22min 44 sec </u>
57° 37min 16 sec