Question

Solve for the variable using Trig ratio.

Answer 1

x = 3.86

a = 5.86

Explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

cos(50)° =
`(x)/(6)`

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

sin(23)° =
`(a)/(15)`

a = 15sin(23)°

a = 5.86