We shall use the mnemonics SOH-CAH-TOA to find the missing angles.
SOH- means sine ratio is

CAH- means cosine ratio is

TOA- means tangent ratio is

11) From the given right-angle triangle,the side length adjacent to
is 11 units.
The opposite side is 8 units.
We use the tangent ratio to obtain:


to the nearest tenth.
12) From the given right-angle triangle,the side length adjacent to
is 7 units.
The opposite side is 13 units.
We use the tangent ratio to obtain:


to the nearest tenth.
13) From the given right-angle triangle,the side length adjacent to
is 8 units.
The opposite side is 11 units.
We use the tangent ratio to obtain:


to the nearest tenth.
14. This time we were given the hypotenuse to be 9.7 units and the opposite side of the right-angle triangle is 7 units.
We use the sine ratio to obtain:





15. For question 15; we the hypotenuse to be 7 units and the adjacent side is 4 units.
We use the cosine ratio to get;

to the nearest tenth.
16) From the given right-angle triangle,the side length adjacent to
is 13 units.
The opposite side is 12 units.
We use the tangent ratio to obtain:


to the nearest tenth.