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uysha [10]
3 years ago
10

In △ABC, m∠A=16°, m∠B=49°, and a=4. Find c to the nearest tenth.

Mathematics
2 answers:
xenn [34]3 years ago
7 0

Answer:

= 8.33 inches

Step-by-step Explanation

First add 49 + 16, which equals 65, and subtract that result from 180, since a triangle equals 180 degrees and you find out angle C is equal to 115 degrees.

Now using the formula sinA/a = sinB/b = sinC/c, plug in values and you'd get the equation sin49 x 10/sin115. After solving the equation you'd get about  8.32729886047258 inches.

= 8.33

nataly862011 [7]3 years ago
7 0

Answer:

13.2 units

Step-by-step explanation:

∠A = 16°

∠B = 49°

∠C = 180-(16+49)

∠C = 115°

a = 4

Now, from sine rule we get

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

\frac{sinA}{a}=\frac{sinC}{c}\\\Rightarrow \frac{sin16}{4}=\frac{sin115}{c}\\\Rightarrow c=\frac{sin115}{ \frac{sin16}{4}}\\\Rightarrow c=13.2

∴ c is 13.2 units

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