Question

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

Answer 1

= 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 2

13.2 units

Explanation:

∠A = 16°

∠B = 49°

∠C = 180-(16+49)

∠C = 115°

a = 4

Now, from sine rule we get

`(sinA)/(a)=(sinB)/(b)=(sinC)/(c)`

`(sinA)/(a)=(sinC)/(c)\\\Rightarrow (sin16)/(4)=(sin115)/(c)\\\Rightarrow c=(sin115)/( (sin16)/(4))\\\Rightarrow c=13.2`

∴ c is 13.2 units