*Acute approach.*The Tofubeast is running due east at 10 mph. Monster is northeast of the Tofubeast and can run at 10 mph.

[east] [southwest] mph

*Solution*[south]

*Variations*- if then [south-southwest]
- if
then
[southeast]
- if
then
*undefined*

(notice if , then )

*Obtuse approach.*The Tofubeast is running due south at 10 mph. Monster is northeast of the Tofubeast and can run at 11 mph.

*Solution*

*Variations*- if then
- if then
- if then
- if then
*undefined*

Notice in the last variation, where , then according to equation (1):

This would be a poor choice of : is instructed to head away from in order to intercept, which makes no sense. But and , which is the special case of non-interception even when equation (1) is defined, and so is undefined.*Negative-side approach.*The Tofubeast is running northwest at 5 mph. Monster is northeast of the Tofubeast and can run at 10 mph.

*Solution*or

*Variation*- if , then ,

*Angle of sight.*The Tofubeast is running north at 10 mph. Monster is southeast of the Tofubeast and can run at 15 mph.

*Solution*or

*Variations*- if then ,
- if then ,
- if then ,
- if then ,
- if then ,