Given that $0 < x < 180$, find the possible values of $x$ for $\sin x^{\circ} = 0.985$.
Give your answers correct to 1 decimal place. Answer x = ... or ...

1. Find the principal acute angle using inverse sine.

$x=\sin^{-1}(0.985)$
$x\approx 80.063^\circ$

2. Find the second possible angle in the given interval and round both answers.

Since $\sin x^\circ$ is positive for $0^\circ<x<180^\circ$, there are two possible angles:
$x\approx 80.063^\circ$
or
$x=180^\circ-80.063^\circ\approx 99.937^\circ$
Correct to 1 decimal place,
$x=80.1^\circ \text{ or } 99.9^\circ$