Question

Find the value of c.
Picture below

Answer 1

we are given

`opposite=5√(2)`

`\theta=45`

`hypotenuse=c`

now, we can use sine formula

`sin(\theta)=(5√(2))/(c)`

now, we can plug theta

`sin(45)=(5√(2))/(c)`

now, we can find c

`c=(5√(2))/(sin(45))`

`c=(5√(2))/((√(2))/(2))`

now, we can simplify it

`c=(5*2*√(2))/(√(2))`

`c=10`............Answer