Study Advice based on OP – Scientific Calculators
This tip focuses on selecting and using an acceptable exam room scientific calculator. I believe you will find that you will need time to become familiar with the input requirements for the calculator you have selected.
For this discussion, I will take a moment to focus on two possible calculator choices the TI 30Xa and the TI 30X II. Each calculator has a different processing system. The TI 30xa uses an algebraic operating system and the TI 30x II uses an equation operating system.
Why does this matter? Simply the input of a marine mathematical formula has different input sequence based on the calculator being used.
I will utilize the visibility of a light geographic and luminous range problems to illustrate the process. This style of problems maybe encountered in Navigation General, Navigation Problems and Chart Plotting.
Consider the navigational formula for geographic range of a light found in Bowditch Volume II, 2019 Ed, Explanation of Table 13, page 4.
Geographic Range = 1.17√(HE) + 1.17√(HO)
HE = Height of Eye of the vessel
HO = Height of Object being observed.
What is the approximate geographic range of Shinnecock Light, NY, if your height of eye is 24 feet (7.3 meters)? Refer to “Reprints from the LIGHT LISTS AND COAST PILOTS”. (Ref# 680 – 75 feet) Ans: 15.9nm
Formula Sequence:
Geographic Range = 1.17√24 + 1.17√ 75 = 15.86
TI 30 Xa Calculator Key Sequence: Follows Mathematical process [PEMDAS].
Geographic Range = 24√ x 1.17 = Ans (5.73) + 75 √ x 1.17 = 15.8643
TI 30X II Calculator Key Sequence will follow the formula sequence. Close all parentheses before continuing with other operations.
Geographic Range = 1.17√(24) + 1.17√(75) = 15.8643
The Light List shows that a navigational light has a nominal range of 12 miles and a height above water of 25 feet (7.6 meters). Your height of eye is 38 feet (11.6 meters) and the visibility is 5.5 miles. At what approximate range will you FIRST sight the light? USCG Ans: 8.0 miles
Formula Sequence:
Luminous Range = (vis/10 x Nominal Range) +1
TI 30 Xa Calculator Key Sequence: Follows Mathematical process [PEMDAS]. Use parentheses and close before continuing with other operations
Luminous Range = (5.5/10 x 12 NM) +1 = 7.6 nm
TI 30X II Calculator Key Sequence will follow the formula sequence. Close all parentheses before continuing with other operations.
Luminous Range = (5.5/10 x 12 NM) +1 = 7.6 nm
I hope this helps.