Question

An artist makes a structure in the shape of this given triangle.

Answer 1

ANSWER

$\theta =73.2 \degree$


EXPLANATION

We use the sine rule to obtain,

$\frac{ \sin( \theta) }{4} = \frac{ \sin(50 \degree) }{3.2}$

We multiply both sides by 4 to obtain,


$\sin( \theta) = \frac{ \sin(50 \degree) }{3.2} \times 4$
We take the inverse sine of both sides to get,


$\theta = \sin ^{ - 1} (0.9576)$
$\theta =73.2$
to the nearest tenth.