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Answer:

Given below.

Step-by-step explanation:

1) Hypotenuse

2) Using Pythagoras theorem:

              35² + 12² = c²

                c = √1225+144

                c = √1369

                 c = 37  ....this is the length of missing side.

Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.

3) sin(θ) = opposite/hypotenuse

   sin(θ) = 35/37

4) cos(θ) = adjacent/ hypotenuse

    cos(θ) = 12/37

5) tan(θ) = opposite/adjacent

      tan(θ) = 35/12

#1

  • Hypotenuse

#2

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow H^2=25^2+12^2=1225+144=1369[/tex]

[tex]\\ \tt\hookrightarrow H=37[/tex]

#3

[tex]\\ \tt\hookrightarrow Sin\theta=\dfrac{35}{37}[/tex]

#4

[tex]\\ \tt\hookrightarrow cos\theta=\dfrac{12}{37}[/tex]

#5

[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{35}{12}[/tex]

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