Using SOHCAHTOA with compound shapes

Task goals

• Use sine, cosine, or tangent to derive a shared measurement in a compound shape.
• Transfer the trig-derived length into a rectangle, trapezium, triangle, circle, stadium, kite, or house component.
• Decide whether component areas must be added or subtracted.
• Convert between diameter and radius and combine matching fractional circles.
• Find exposed perimeter by tracing solid outside edges and excluding internal joins.
• Construct an auxiliary altitude or diagonal when the required right triangle is hidden.
• Retain full calculator precision and round only the final result with correct units.