Answer:
x = 74.89
Step-by-step explanation:
Because this is a right triangle we can use trigonometric ratios to solve for x
Remember the three main trig ratios are sine, cosine and tangent
Where
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
and Tangent = Opposite over Adjacent
In order to use trig ratios we must have a known angle that is not a right angle.
We are given ∠J which has a measure of 27°
We are also given ∠J's opposite side length. ( has a length of 34 )
and "x" is the hypotenuse.
When dealing with opposite and hypotenuse we use Sine
SineФ = Opposite over Hypotenuse
Ф = 27, opposite = 34 and hypotenuse = x
Sin(27) = 34/x
solve for x
Multiply both side by x
sin(27) x = 34
divide both sides by sin (27)
x = 34 / sin (27)
simplify
x = 74.89 ( rounded to the nearest hundredth )
and we are done!
