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°