Question

if angle a = 79 degrees and the side length of b = 10, then find x to the nearest tenth
x = ______ (type your answer in blank 1)
blank 1:

Explanation:

Identify the given values and target variable

Using the Right Triangle Trigonometry knowledge point

• Given angle \(A = 79^\circ\)
• Given adjacent side \(b = 10\)
• Target opposite side \(x\)

Apply the tangent ratio

Using the Right Triangle Trigonometry knowledge point

$$ \tan(A) = \frac{\text{Opposite}}{\text{Adjacent}} $$

$$ \tan(79^\circ) = \frac{x}{10} $$

Solve for x

Using the Right Triangle Trigonometry knowledge point

$$ x = 10 \cdot \tan(79^\circ) $$

$$ \tan(79^\circ) \approx 5.14455 $$

$$ x \approx 10 \cdot 5.14455 = 51.4455 $$

Round to the nearest tenth

Using the Right Triangle Trigonometry knowledge point

$$ x \approx 51.4 $$

Answer:

If Angle A = 79 degrees and the side length of b = 10, then find x to the nearest tenth
x = <blank>51.4</blank> (Type your answer in Blank 1)