Wetzel                                                                                    

Math 102

10.5 – Applications

Pythagorean Theorem:

• Used to find the missing side of a right triangle.
• 

                  where a and b are the legs and c is the hypotenuse.

Example:

1.)  Victor flew to a city that was 700 miles north and 2400 miles east of his starting point.  How far away is he from his initial starting point?

Projectile Motion Problems:

                                      where t is the time (in seconds)

                                                 is the Initial Velocity (in ft/sec.)

                                                 s is the Initial Height (in feet)

            Example:

            1.)  An object is launched from ground level with an initial speed of 75 feet per second.  At what time(s) is the object 70 feet above the ground?  Round to the nearest tenth of a second.