# If A is an acute angle and sin A = .8406, what is angle A round to the nearest tenth of a degree?

Oct 2, 2016

$A = {57.2}^{o}$

#### Explanation:

You can use tables or scientific calculator to find the angle A, which is indicted to be an acute angle given $\sin A = 0.8406$. Note that while tables give angle in degrees and its fractions, in scientific calculator, one has to choose whether angle is desired in degrees or in radians, and after keying in value of $\sin A$, have to seek its inverse.

This gives $A = {57.2035}^{o}$, which round to the nearest tenth of a degree is ${57.2}^{o}$.