### Self Assessment 13

#### § 46 – 48

Show the full working of all calculations including the formulae used and the logarithm calculations.

Using tables of Nautical Functions only and with reference to triangle JKL in the figure below:

Given JL  = 12,  JK = 20, find     (i) K                (ii) side KL

Given K   = 27°, KL = 18,              (i) side JK    (ii) side JL

Given Ĵ   = 51°, JK = 70,               (i) side JL    (ii) side KL

Given JL = 20,  KL = 35,               (i) Ĵ               (ii) side JK

216. Find the value of the following by logs:

217. Find the value of the following logs:

218. Find the log. Of the following trigonometrical functions from Tables:

a. sin. 41° 30’         =      9.82126

b. cosec. 25° 25’    =      10.36734

c. cos. 82° 45’ .      =      9.10106

d. tan. 36° 20’        =      9.86656

e. sec. 59°              =      10.28816

f. cot. 40° 10’         =      10.07362

219. Using tables of logs. And logs. Of trig functions, find the value of the following expressions as natural numbers:

220. Using log. Tables and logs. Of Trig Functions, and with reference to the triangle in the figure XYZ:

221. A navigator takes a vertical sextant angle between the top of a cliff 810 ft high and sea level. If the  corrected angle he measures is 9 32’, how far is he from the cliff. (Use Log. Tables, Not the Table  Distance by Vertical Angle”

222. After sailing a certain course, a vessel finds she is 69.7 miles North and 47.0 miles east of her departure point, What Course did she steer?

Re-work Question 95 of Assignment 9 of this Study using the Cosine-Haversine method of Sight reduction and the ABC Tables for azimuths, plotting your results to find the required observed position.

223. Find the d.Lat and the d.long between the following points:

a. A. (Lat 54° 20’N., Long 070° 23’W)  and  B. ( Lat 32° 55’N., Long 071° 11’W)

224. Find the following: –

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