## In the pictured triangle, 2A is 98 degrees and 2B is 12 degrees. If side a is 84 units long, approximately how long is side b?<

Question

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## Answers ( )

The length of the side b is 17.82 units

Explanation:Given that the triangle has ∠A = 98° and ∠B = 12°

Also, given that the side a has length a = 84 units

We need to determine the length of the side bTo determine the length of the side b, we shall use the law of sine formula.

The

law of sine formulais given bySubstituting the values in the above formula,we have,

Simplifying, we get,

Cross multiplying, we get,

Multiplying, we get,

Dividing both sides by 0.99, we get,

Thus, the

length of the side b is approximately 17.82 units.