Question

Plz help!!
Consider the given right triangle.

Answer 1

b = 8

c = 16

Explanation:

From the given right triangle,

a =
`8√(3)`, m(∠B) = 30°

By applying sine rule in the given triangle,

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

cos(B) =
`(BC)/(AB)`

cos(30°) =
`(8√(3))/(c)`

`(√(3) )/(2)= (8√(3) )/(c)`

c = 16

Further we apply tangent rule,

tan(B) =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

tan(30°) =
`(b)/(a)`

`(1)/(√(3))=(b)/(8√(3) )`

b = 8