Find correct to the nearest degree, the acute angle formed by the lines y =
FURTHER MATHEMATICS
WAEC 2022
Find correct to the nearest degree, the acute angle formed by the lines y = 2x + 5 and 2y = x - 6
- A. 76\(^?\)
- B. 53\(^?\)
- C. 37\(^?\)
- D. 14\(^?\)
Correct Answer: C. 37\(^?\)
Explanation
| tanθ | = | m1 - m2 1 + m1m2 |
y = 2x + 5
m1 = 2
2y = x - 6
| y | = | 1 2 | x | - | 3 |
| m2 | = | 1 2 |
| tanθ | = | 2 - \(\frac{1}{2}\) 1+2(\(\frac{1}{2}\)) |
tanθ = \(\frac{3}{2}\) ÷ (1+1)
tanθ = \(\frac{3}{2}\) ÷ 2
| tanθ | = | 3 4 |
θ = \(tan^{-1} (\frac{3}{4})\)
θ = 36.87º
θ = 37º
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *