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ruslelena [56]
3 years ago
14

Solve for x... need as fast as you can do it.

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0

Answer:

6. 21.0°

7. 39.6°

8. 58.0°

9. 72.9°

Step-by-step explanation:

6. Reference angle (θ) = x°

Hypotenuse = 15

Adjacent = 14

Apply CAH:

Cos(\theta) = \frac{Adjacent}{Hypotenuse}

Plug in the values

Cos(x) = \frac{14}{15}

x = Cos^{-1}(\frac{14}{15})

x ≈ 21.0° (nearest tenth)

7. Reference angle (θ) = x°

Opposite = 19

Adjacent = 23

Apply TOA:

Tan(\theta) = \frac{Opposite}{Adjacent}

Plug in the values

Tan(x) = \frac{19}{23}

x = Tan^{-1}(\frac{19}{23})

x ≈ 39.6° (nearest tenth)

8. Reference angle (θ) = x°

Hypotenuse = 17

Adjacent = 9

Apply CAH:

Cos(\theta) = \frac{Adjacent}{Hypotenuse}

Plug in the values

Cos(x) = \frac{9}{17}

x = Cos^{-1}(\frac{9}{17})

x ≈ 58.0° (nearest tenth)

9. Reference angle (θ) = x°

Opposite = 43

Hypotenuse = 45

Apply SOH:

Sin(\theta) = \frac{Opposite}{Hypotenuse}

Plug in the values

Sin(x) = \frac{43}{45}

x = Sin^{-1}(\frac{43}{45})

x ≈ 72.9° (nearest tenth)

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