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Oksi-84 [34.3K]
3 years ago
11

In the pictured triangle, 2A is 98 degrees and 2B is 12 degrees. If side a is 84

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

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 b

To determine the length of the side b, we shall use the law of sine formula.

The law of sine formula is given by

\frac{sin \ A}{a} = \frac{sin \ B}{b}

Substituting the values in the above formula,we have,

\frac{sin \ 98^{\circ}}{84} = \frac{sin \ 12^{\circ}}{b}

Simplifying, we get,

\frac{0.99}{84} = \frac{0.21}{b}

Cross multiplying, we get,

0.99\times b=0.21\times 84

Multiplying, we get,

0.99b=17.64

Dividing both sides by 0.99, we get,

b=17.82

Thus, the length of the side b is approximately 17.82 units.

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