The missing angles and side of the triangle are:
m∠G = 29°
m∠J = 71°
HJ = 7.7
How to use Trigonometric ratios?
There are three main trigonometric ratios which are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
Using trigonometric ratios, we can say that:
14/16 = cos G
mG = cos⁻¹(14/16)
m∠G = 29°
Thus:
m∠J = 90° - 29°
m∠J = 71°
Using pythagoras theorem, we have:
HJ = √(16² - 14²)
HJ = 7.7