Using Trig to find angles !! help please

Answer:
56.1°
Step-by-step explanation:
[tex] \tan \:x \degree = \frac{64}{43} \\ \tan \:x \degree = 1.48837209 \\ x \degree = { \tan}^{ - 1} (1.48837209) \\ x \degree = 56.103833383 \degree \\ x =56.1 \degree[/tex]
56.1°.
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2).
Please check the attached file for a brief answer.
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