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IIf segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth. triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees 22.62 28.44 41.41 61.39

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tramserran

Answer: A) 22.62

Step-by-step explanation:

[tex]\sin b=\dfrac{opposite}{hypotenuse}=\dfrac{20}{52}\\\\\\b=\sin^{-1}\bigg(\dfrac{5}{13}\bigg)\\\\\\\large\boxed{b=22.62^o}[/tex]

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The value of b is 22.62.

Given that,

  • If segment FD = 20 units and segment DE = 52 units

calculation:

[tex]sin b = opposite \div hypothesis\\\\= 20 \div 52\\\\= sin^{-1} (5 \div 13)\\\\= 22.62 ^{\circ}[/tex]

Learn more about the triangle here; https://brainly.com/question/25813512?referrer=searchResults

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