How do you use law of sines to solve the triangle given A=24 degrees, a=8.5, c=10.6?
In order to use the Sine Rule you have to know the size of one angle and the length of its opposite side. A third measurement can be either another side or an angle.
Note than Sin values are always from 0 to 1, so we are expecting an answer of 0....... If this does not happen there is an error.
To solve the triangle means to find all the unknown sides and angles. We need to find angle B and side b
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To use the Law of Sines to solve the triangle given angle A = 24 degrees, side a = 8.5, and side c = 10.6, you can follow these steps:

Use the Law of Sines to find angle C: [\frac{\sin C}{c} = \frac{\sin A}{a}] [\sin C = \frac{c \times \sin A}{a}] [\sin C = \frac{10.6 \times \sin 24^\circ}{8.5}] [C = \sin^{1} \left(\frac{10.6 \times \sin 24^\circ}{8.5}\right)]

Use the fact that the sum of angles in a triangle is 180 degrees to find angle B: [B = 180^\circ  A  C]

Once you have angles B and C, you can use the Law of Sines again to find side b: [\frac{\sin B}{b} = \frac{\sin A}{a}] [b = \frac{a \times \sin B}{\sin A}]

Plug in the known values to find side b: [b = \frac{8.5 \times \sin B}{\sin 24^\circ}]

After finding angles B and C and side b, you will have solved the triangle.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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