Question

Can someone please help me find the value of x?

Answer 1

Since we have a right triangle, we can relate the angle 28 with x and side 34 by meand of the sine function, that is,

`\sin 28=(34)/(x)`

where x is the hypotenuse. By moving x to the left hand side, we have

`x\cdot\sin 28=34`

and by moving sin28 to the right hand side, we get

`x=(34)/(\sin 28)`

since sin28=0.4694, we have

`x=(34)/(0.4694)`

then, x is given by

`x=72.42`

by rounding down, the answer is option D: x=72.4