Respuesta :
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
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
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
[tex]\frac{sinA}{a}=\frac{sinC}{c}\\\Rightarrow \frac{sin16}{4}=\frac{sin115}{c}\\\Rightarrow c=\frac{sin115}{ \frac{sin16}{4}}\\\Rightarrow c=13.2[/tex]
∴ c is 13.2 units
