Question

Please answer it now in two minutes

Answer 1

y = 4

Explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° =
`(1)/(√(3) )` , then

tan30° =
`(opposite)/(adjacent)` =
`(y)/(4√(3) )` =
`(1)/(√(3) )` ( cross- multiply )

y ×
`√(3)` = 4
`√(3)` ( divide both sides by
`√(3)` )

y = 4

Answer 2

y=4

Explanation:

If we have a triangle with angles A, B, and C. The law of sines says that the proportion between the sin of angle A and its opposite side is equal to the proportion between the sin of angle B and its opposite side and it is equal to the proportion between the sin of angle C and its opposite side.

So, by the law of sines we can say that:

`(sen(60))/(4√(3) ) =(sen(30))/(y)`

Solving for y, we get:

`sin(60)*y=4√(3)*sin(30)\\(√(3) )/(2)y=4√(3)*0.5\\ (1)/(2) y=4*0.5\\y = 4`