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Answer:

x ≈ 38.61

Step-by-step explanation:

using the tangent ratio in the right triangle

tan47° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{35}[/tex] ( multiply both sides by 35 )

35 × tan47° = x , then

x ≈ 37.53 ( to 2 dec. places )