Neco Model Questions Vol1 2024 Mathematics Question 8

Practice objective / multiple choice question 8 from the 2024 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2024 Mathematics Objective / Multiple Choice Hard Difficulty
Question 8 NECO_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • objective

In triangle \(ABC\) the side opposite angle \(A\) has length \(a = 8\) cm and the side opposite angle \(B\) has length \(b = 10\) cm. Angle \(A\) measures \(30^{\circ}\). Determine all possible measures of angle \(B\) and, for each possible configuration, compute the area of the triangle (in \(\text{cm}^2\), correct to one decimal place).

Answer Options

A. B = 25.0° → area ≈ 30.0 cm²; B = 155.0° → area ≈ 4.0 cm²
B. B = 35.2° → area ≈ 35.0 cm²; B = 144.8° → area ≈ 5.5 cm²
Correct Answer C. B = 38.7° → area ≈ 37.1 cm²; B = 141.3° → area ≈ 6.0 cm²
D. B = 40.0° → area ≈ 38.5 cm²; B = 140.0° → area ≈ 6.2 cm²
Correct Answer
C
Correct Option:
B = 38.7° → area ≈ 37.1 cm²; B = 141.3° → area ≈ 6.0 cm²

About This Question

This is Neco Model Questions Vol1 2024 Mathematics Question 8. It is one of the objective questions from the 2024 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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