The expression to find the length of JH is [tex]JH = 9\cdot \sin 35^{\circ}[/tex].
The expression to find the length of GJ is [tex]GJ = 9\cdot \cos 35^{\circ}[/tex].
Resolution - Determination of expression for the side lengths of a right triangle
Some facts on right triangles
A right triangle has two legs and a hypotenuse, the two legs are adjacent to a right angle and the hypotenuse is the side opposite to that angle. Besides, the hypotenuse is the longest side of the right triangle.
Determination of trigonometric expression for needed lengths
We can determine the value of each leg by means of trigonometric relations in terms of the hypotenuse and an angle adjacent to it, which are described below:
[tex]JH = GH\cdot \sin \theta[/tex] (1)
[tex]GJ = GH\cdot \cos \theta[/tex] (2)
If we know that [tex]GH = 9[/tex] and [tex]\theta = 35^{\circ}[/tex], then the expressions are:
Length of JH
[tex]JH = 9\cdot \sin 35^{\circ}[/tex]
Length of GJ
[tex]GJ = 9\cdot \cos 35^{\circ}[/tex]
Conclusions
The expression to find the length of JH is [tex]JH = 9\cdot \sin 35^{\circ}[/tex]. [tex]\blacksquare[/tex]
The expression to find the length of GJ is [tex]GJ = 9\cdot \cos 35^{\circ}[/tex]. [tex]\blacksquare[/tex]
To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/7894175
Remark
The statement is incomplete and full of mistakes. In addition, there is an image missing. The complete and corrected expression is presented:
Write an expression that can be used to find the length of [tex]JH[/tex] and an expression that can be used to find the length of [tex]GJ[/tex].
