Answered

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Help!!! Find c.
Round to the nearest tenth:

Help Find C Round To The Nearest Tenth class=

Sagot :

MrRoyal

Answer:

[tex]c = 14.9cm[/tex]

Step-by-step explanation:

Given

[tex]b = 10cm[/tex]

[tex]B = 12^{\circ}[/tex]

[tex]A = 150^{\circ}[/tex]

Required

Determine the length of c

First, we calculate C (the third angle of the triangle).

[tex]C = 180 - A - B[/tex]

[tex]C = 180 - 150 - 12[/tex]

[tex]C = 18^{\circ}[/tex]

Using Sine's law, we make use of:

[tex]\frac{sin\ B}{b} = \frac{sin C}{c}[/tex]

By substituting values, we have:

[tex]\frac{sin\ 12}{10} = \frac{sin 18}{c}[/tex]

Cross multiply

[tex]c* sin\ 12 = 10 * sin\ 18[/tex]

Make c the subject

[tex]c = \frac{10 * sin\ 18}{sin\ 12}[/tex]

[tex]c = \frac{10 * 0.3090}{0.2079}[/tex]

[tex]c = 14.9cm[/tex] approximated

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