Answer :
The missing values are:
6) x = 23.43
7) x = 26.57°
8) x = 3.41
9) x = 42.83°
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
Thus:
6) Using trigonometric ratios, we have:
11/x = sin 28
x = 11/sin 28
x = 23.43
7) Using trigonometric ratios, we have:
8/16 = tan x
tan x = 0.5
x = tan⁻¹0.5
x = 26.57°
8) Using trigonometric ratios, we have:
x/7 = tan 26
x = 7 tan 26
x = 3.41
9) Using trigonometric ratios, we have:
11/15 = cos x
x = cos⁻¹(11/15)
x = 42.83°
