Question

Round to the nearest minute as needed and find a cute angle A

Answer 1

$80^059^{^{\prime}}$

1) Considering that we need to find out the value of angle A. We need to find out the arctangent of angle A, so let's calculate it:

$\begin{gathered} \tan (A)=6.31 \\ (A)=\tan ^{-1}(6.31) \\ (A)=80.9947 \end{gathered}$

2) Now we need to write it rounding it off to the nearest minute as we were told:

$80.99473685^0=80^059^{\prime}41^{\doubleprime}$

Note that, after the dot, we have .9947 subtracting it from .60, we have 80degrees 59 minutes and 41 seconds so we can answer that as

$80^059^{^{\prime}}$