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vfiekz [6]
3 years ago
10

The lengths of the two sides of a triangle (not necessarily a right triangle) are 1.00 meters and 3.46 meters. The sine of the a

ngle opposite the side of length 1.00 meters is 0.0355. What is the sine of the angle opposite the side of length 3.46 meters?
Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

0.1228

Step-by-step explanation:

We use sine rule

\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}

where, in any triangle <em>ABC</em>, <em>a</em> is the side opposite ∠A, <em>b</em> is the side opposite ∠B and <em>c</em> is the side opposite ∠C.

Applying this to the question,

\dfrac{1.00}{0.0355} = \dfrac{3.46}{\sin B}

\sin B = 3.46\times0.0355 = 0.12283 \approx 0.1228

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