Question

*30pts*What is the value of x in the triangle?

Answer 1

A

Explanation:

using the sine ratio in the right triangle and the exact value

sin30° =
`(1)/(2)` , then

sin30° =
`(opposite)/(hypotenuse)` =
`(x)/(8)` =
`(1)/(2)` ( cross- multiply )

2x = 8 ( divide both sides by 2 )

x = 4

Answer 2

A.4

Explanation:

Using the sine rule

sin(α)/A equals sin(β)/B

From the question & inserting values,

sin(90°)/8 equals sin(30°)/x

∴x equals
`(sin(30))/(sin(90))`×8

∴x equals 4

You can learn more on the sine rule in case you get confused.