Question

1. write an expression that can be used to find the length of jh and an expression that can be used to find the length of gj.

jh=
gj=

Explanation:

Step1: Use the tangent function for \(JH\)

In a right - triangle (assuming \(J\) is the vertex of the right - angle, and using the trigonometric ratio \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\)). Given \(\theta = 35^{\circ}\) and adjacent side \(OH = 9\). For \(\tan(35^{\circ})=\frac{JH}{9}\), then \(JH = 9\tan(35^{\circ})\).

Step2: Use the cosine function for \(GJ\)

Using the trigonometric ratio \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Given \(\theta = 35^{\circ}\) and adjacent side \(OH = 9\). For \(\cos(35^{\circ})=\frac{9}{GJ}\), then \(GJ=\frac{9}{\cos(35^{\circ})}\).

Answer:

\(JH = 9\tan(35^{\circ})\)
\(GJ=\frac{9}{\cos(35^{\circ})}\)