Question

Solve for the indicated side. Leave your answer in simplified radical form. (Step by step)

Answer 1

`\\ \rm\rightarrowtail sin60=(Perpendicular)/(Hypotenuse)`

`\\ \rm\rightarrowtail sin60=(6)/(x)`

`\\ \rm\rightarrowtail (√(3))/(2)=(6)/(x)`

`\\ \rm\rightarrowtail √(3)x=12`

`\\ \rm\rightarrowtail x=12/√(3)`

`\\ \rm\rightarrowtail x=4√(3)in`

Answer 2

In order to solve this particular question, use the sine rule.

`\sf sin(x)= (opposite)/(hypotensue)`

Here given:

• opposite = 6 inch

• hypotenuse = x

• angle = 60°

Henceforth solve:

`\hookrightarrow \sf sin(60)= (6)/(x)`

`\hookrightarrow \sf x= (6)/(sin(60))`

`\hookrightarrow \sf x= 4√(3)`