ai From the four-figure/ mathematical table 2sin63.35º = 2(0.8938) = 1.7876 ii. From the four-figure/ mathematical table, log cos 44.74º = log 0.7103 = \(\bar{1}\).8515 iii. log k - log(k - 2) = log 5 = log \(\frac{\text{k}}{k - 2}\) = log 5 (law of logarithms) log \(\frac{\text{k}}{k - 2}\) = log 5 \(\frac{\text{k}}{k - 2}\) = 5 cross multiply 5(k - 2) = k 5k - 10 = k 5k - k = 10 4k = 10 k = \(\frac{10}{4}\) = \(\frac{5}{2}\). b. \(\frac{3.68^2 \times 6.705}{\sqrt{0.3581}}\) = 151.8. See the steps in the diagram above.