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Use the table to approximate AB in the triangle below.

A
55°
Choose 1 answer:
(A) 2.85 units
4.1 units
6.1 units
8.8 units
LO
5
B

User New Moon
by
7.7k points

1 Answer

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Answer: Therefore, the approximate length of AB in the triangle is approximately 4.1 units.

Step-by-step explanation: To approximate the length of AB in the given triangle, we need to use the information provided in the table. 1. Look at the table: The table shows the angle A in the triangle as 55° and the length of side LO as 5 units. 2. Identify the information we need: We need to find the length of side AB. 3. Determine the relationship between the given information and the length of AB: We can use the trigonometric function sine (sin) to relate the angle A and the length of side AB. The formula is sin(A) = opposite/hypotenuse. 4. Apply the formula to solve for AB: sin(55°) = AB/5. 5. Solve for AB: To find AB, we multiply both sides of the equation by 5: 5 * sin(55°) = AB. 6. Use a calculator to evaluate sin(55°): sin(55°) ≈ 0.819. 7. Substitute the value of sin(55°) into the equation: 5 * 0.819 = AB. 8. Calculate AB: AB ≈ 4.095.

User Stokes
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