My recent studies of mathematics have allowed me to solve some very interesting problems. One type of problem has to deal with multiple rates of change that are related each other through some sort of geometric construct.

In Calculus terminology we call these types of problems “Related Rate Problems”.

The following is a “Related Rate Problem” of my own making.  You can offer guesses / answers in the comments section.

In the near future I’ll post my solution to the problem along with some reasons for why knowing the mathematics behind this problem thrill me.

Until then, ENJOY!

Problem:
A tall young man is walking down a hall with florescent ceiling lights and waxed tile floors. The youth notices that the reflection of each ceiling light moves as he approaches the spot directly beneath the ceiling light’s fixture.

If the light fixtures are 10 feet above the floor, and the young man’s eyes are 6.0 feet above the floor, and the young man is walking at a rate of 2.5 feet per second, then how fast is the distance between the student and the point of reflection changing.

Note: according to Fermat’s Principal it can be deduced that the light will be reflected off the floor at the same angle that it approached the floor. Thus, we are working with two similar triangles. One triangle being between the ceiling light, spot beneath the ceiling light and the point of reflection, and the other being between the young man’s eyes, spot beneath his eyes and the point of reflection.

Today should be a day of reflection, action and anticipation for the young men of the United States. 

We should all reflect on the works of God in our lives and the lives of those around us.  Those who are able should vote for the next president of our nation.  But most importantly, we should all have great anticipation for the future.  Anticipation not for the outcome of the election, plight of the economy or even the future of our nation. 

 Our anticipation should be directed toward our LORD and Saviour Jesus Christ. 

Today, like the prophet Daniel in Daniel 9:3, we should set our faces toward the Lord God and seek Him by prayer and supplication with fasting, sackcloth and ashes.

Young men, seek the LORD and His strength, seek His face continually (1 Chronicles 16:11, Psalm 105:4).  May our hearts be like the heart of David as described in Psalm 27:8

When Thou saidst, seek ye My face; my heart said unto Thee, Thy face LORD will I seek.

If before the throne of God we humble ourselves, pray unto His name, seek His face and turn from our wicked ways putting on the new man which is after God in righteous and holiness then GOD will hear us and answer our prayers. 

1 Chronicles 7:14, Ephesians 4:21-24, Matthew 7:7,  James 4:2,3

Young men, our generation must seek the face of the LORD.  Perhaps like Noah we will find grace in His eyes.

 Amos 5:8

Seek Him that maketh the seven stars and Orion, and turneth the shadow of death into the morning, and maketh the day dark with night: that calleth for the waters of the sea, and poureth them out upon the face of the earth: The LORD is His Name.

Verses on Seeking the Lord’s Face