Answer:
To calculate the length of BC in the triangle ABC, we can use the trigonometric functions sine and cosine.
Given that ∠CAB = 90° and ∠ABC = 58°, we can determine that ∠BCA = 180° - 90° - 58° = 32°.
Using the sine function, we can find the length of BC:
sin(∠BCA) = BC / AB
Rearranging the formula, we have:
BC = AB * sin(∠BCA)
Substituting the given values:
BC = 9.3 * sin(32°)
Using a calculator or trigonometric table, we find:
BC ≈ 9.3 * 0.529 = 4.917
Rounding to three significant figures (SF), the length of BC is approximately 4.92 units.
Explanation: