Question

Even more mathhhh please help it’s summer

Answer 1

b = 7.7

Explanation:

Sine rule: The sine rule tells the relationship between the angle measurement and the opposite sides of a triangle.

`\boxed{\bf (a)/(Sin \ A)=(b)/(Sin \ B)=(c)/(Sin \ C)}`

a = 18 and Sin A = 83°

b = b and Sin B = 28°

Substitute in the above formula and find the value of b,

`\sf ~~~~~~~~~~ (18)/(Sin \ 83^\circ)=(b)/(Sin \ 28^\circ)\\\\\\~~~~~~~~~~~~(18)/(0.9925)=(b)/(0.4226)\\\\\\(18)/(0.9925)*0.4226=b`

b = 7.7

Answer 2

b ≈ 8.5

Explanation:

using the Sine rule in the triangle

`(a)/(sinA)` =
`(b)/(sinB)`

where a is the side opposite ∠ A and b the side opposite ∠ B

here a = 18 , ∠ A = 83° , ∠ B = 28° , then

`(18)/(sin83)` =
`(b)/(sin28)` ( cross- multiply )

b × sin83° = 18 × sin28° ( divide both sides by sin83° )

b =
`(18sin28)/(sin83)` ≈ 8.5 ( to the nearest tenth )