Respuesta :

Answer:

x = 26.7

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{13}[/tex]

Multiply both sides by 13

13 × tan64° = x, thus

x ≈ 26.7

Answer:

x = 26.7 units

Step-by-step explanation:

1. Find the third side: 180 = 90 + 64 + A, where A is the unknown angle

A = 180 - 154, A = 26°

2. Law of sines: sinA/a = sin B/b, where A and B are angles on a triangle, and a and b are the angles' opposite sides.

Plug in: sin(26°)/13 = sin(64°)/x

Means-extremes + multiply: x = 13sin(64°)/sin(26°)

Simplify: x ≈ 26.7 units (It is better to put one equation straight into the calculator instead of doing it one at a time, since the answer will be more accurate.)

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