Question

Opposite: 8, sin(B): 0.8. Hypotenuse = ?

Answer 1

Hypotenuse = 10 units

Explanation:

Trigonometric function sinФ:

sinФ =
`(Opposite)/(Hypotenuse)`

Given that:

B = Angle

sinB = 0.8

Opposite = 8

Let:

Hypotenuse = x

Substituting the given values in the above stated trigonometric function:

`0.8` =
`(8)/(x)`

Cross multiplication is applied:

`(0.8)(x)` =
`(8)(1)`

`0.8x` =
`8`

x has to be isolated and made the subject of the equation:

`x` =
`(8)/(0.8)`

∴ x = Hypotenuse = 10 units