Questions: So, the side is about 2.44 m long. EXERCISE 15B.2 1 Set up a trigonometric equation connecting the given angle and sides: b

So, the side is about 2.44 m long. EXERCISE 15B.2 1 Set up a trigonometric equation connecting the given angle and sides: b
Transcript text: So, the side is about 2.44 m long. EXERCISE 15B.2 1 Set up a trigonometric equation connecting the given angle and sides: b
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Solution

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Solution Steps

Step 1: Identify the trigonometric function for each triangle

For each triangle, identify the appropriate trigonometric function (sine, cosine, or tangent) that relates the given angle to the sides.

Step 2: Set up the trigonometric equation for triangle (a)

For triangle (a), use the sine function: \[ \sin(21^\circ) = \frac{k}{x} \]

Step 3: Set up the trigonometric equation for triangle (b)

For triangle (b), use the cosine function: \[ \cos(50^\circ) = \frac{m}{x} \]

Final Answer

  1. (a) \[ \sin(21^\circ) = \frac{k}{x} \]
  2. (b) \[ \cos(50^\circ) = \frac{m}{x} \]
  3. (c) \[ \tan(38^\circ) = \frac{t}{x} \]
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