Answer:
See explanation below.
Step-by-step explanation:
Note that in △RST and △UVW
- m∠T=180°-m∠R-m∠S;
- m∠W=180°-m∠U-m∠V.
Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.
In ΔRST and ΔUVW:
- ∠S≅∠V (given);
- ∠T≅∠W (proved);
- ST≅VW (given).
ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
By ASA theorem ΔRST≅ΔUVW.
5x = 2x+12 because in similar triangles, the angles are ALWAYS equal
3x=12
x=4
2(4)+12=A
A=20 degrees
An angle is two rays with a common endpoint, called the vertex. The rays are the sides of the angle.
In the angle ∠XYZ, the vertex is Y, and the sides are rays 
and 
You can name angles by three letters, X on one side, the vertex Y, and Z on the other side: ∠XYZ and ∠ZYX are both names for this angle. Or an angle can be named by just its vertex, for example, ∠Y, as long as it is the only angle with that vertex.
Therefore, the correct option is B
The distance is 19 yards or 18.9 yards:
because tan(10)=opposite/adjacent=3.33/x and x is distance
x=3.33/tan(10)=18.9 yd
