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Look at the triangle below.

a. What is the length of side a of this triangle?

B. What is the length of side b of this triangle?

Look at the triangle below a What is the length of side a of this triangle B What is the length of side b of this triangle class=

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Answer:

a = 32.48538491

b = 25.59883264

Step-by-step explanation:

To find the length of a, use the sine function:

[tex]sin\alpha = \frac{opposite}{hypotenuse}[/tex]

[tex]sin 38 = \frac{20}{a} \\a = \frac{20}{sin38}\\a = 32.48538491[/tex]

To find the length of b, use tangent:

[tex]tan\alpha = \frac{opposite}{adjacent}[/tex]

[tex]tan 38 = \frac{20}{b} \\b = \frac{20}{sin38}\\b = 25.59883264[/tex]

The length of side a of this triangle is 32.485 and the length of side b of this triangle is 25.598.

How to find the length of side a of this triangle?

  • To find the length of a, use the sine function.
  • Sinθ = opposite / hypotenuse

         here, θ = 38° so ,

     ∴ sin38 = 20/a

        ∴  a = 20 / sin38

        ∴  a = 32.485

How to find the length of side b of this triangle?

  • To find the length of b, use the tangent function.
  • Tanθ = opposite / adjacent

      here, θ = 38° so ,

   ∴  tan38 = 20/b

        ∴   b = 20 / tan38

        ∴  b = 25.598

Thus, the length of side a of this triangle is 32.485 and the length of side b of this triangle is 25.598.

Learn more about trigonometric functions here -

https://brainly.com/question/524391

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