Use the tables to find the acute angle θ, given that: (iii) cos θ = .6951

Solution:-

In the table of cosines, look for a value (≤ .6951) which is sufficiently close to .6951.

We find the value .6947 occurs in the horizontal line beginning with 46^o and in the mean difference, we see .6951 – .6947 = .0004 in the column of 2’.

So we get, θ = 46^o’ – 2’ = 45^o 58’.