In a right-angled triangle, the sides and the angles are connected by three trigonometric ratios.
The three trig ratios are:
A quick way to remember this is to memorise the word
Using trigonometry, calculate the side length x to 3 sig. figs.
Label the sides adjacent, opposite and hypotenuse in relation to the given angle 34º.
The given sides are the opposite (x) and the hypotenuse (8).
The correct trig ratio is SIN.
Set up the trig equation to get:
sin34º = x/8
x/8 = sin34º
x = 8 sin34º
x = 8 x 0.559192903....
x = 4.47 (3 s.f.)