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sqdancefan
SOH CAH TOA is a useful mnemonic.

9) Sin(Z) = Opposite/Hypotenuse = 24/40 = 3/5
   Cos(Z) = Adjacent/Hypotenuse = 32/40 = 4/5
   Tan(Z) = Opposite/Adjacent = 24/32 = 3/4

10) Same as above
   sin(K) = k/j
   cos(K) = h/j
   tan(K) = k/h

11) The area of an equilateral triangle is (√3)/4 times the square of the side length. You have 4 such triangles, so the total area is ...
   area = (√3)×(18 m)² 
   area = 324√3 m²
   area ≈ 561.18 m²

12) cos(A) = √(1 -sin(A)²)
   cos(A) = √(1 - (25/169)) = √(144/169)
   cos(A) = 12/13

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