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triangle JKM with side j across from angle J, side k across from angle K, and side m across from angle M

If ∠J measures 45°, ∠M measures 40°, and j is 7 feet, then find m using the Law of Sines. Round your answer to the nearest tenth.

6.4 ft
7.7 ft
8.5 ft
23.7 ft

Respuesta :

Answer:

By the law of sins,

[tex]\tt \frac{m}{sin40} =\frac{j}{sin45}[/tex]

[tex]\tt m=\frac{7\times sin40}{sin45}[/tex]

[tex]\tt =7\times \frac{0.6}{0.7} \times \frac{10}{10}[/tex]

[tex]\tt = 0.6 \times 10[/tex]

[tex]\tt =6.0[/tex]

Hope it helps!

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