Question

Need help solving the equation, trying to figure whether I multiply or divide.​

Answer 1

m∠B = 43°

b = 26.1

c = 38.3

Explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

=
`(28)/(c)`

c =
`\frac{28}{\text{sin}(47^(\circ))}`

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

=
`(b)/(c)`

=
`(b)/(38.3)`

b = 38.3[cos(47°)]

b = 26.1