Question

Please help me solve this problem x and y

Answer 1

x=9 y=15.5885 or 15.6

Explanation:

Answer 2

`x=9,\\y=9√(3)`

Explanation:

Using trig for right triangles:

`\sin 30^(\circ)=(x)/(18),\\x=18\sin 30^(\circ)=\boxed{9}`,

`\cos 30^(\circ)=(y)/(18),\\y=18\cos 30^(\circ)=18\cdot(√(3))/(2)=\boxed{9√(3)}`.

If you aren't familiar with trig, this may have been introduced to you as a special triangle. In that case, the ratios of the sides of a 30-60-90 triangle are always:

`x:x√(3):2x`, where
`2x` is the hypotenuse and
`x` is always the side opposite to the
`30^(\circ)` angle