Question

find the tangent of ∠g. simplify your answer and write it as a proper fraction, improper fraction, or whole number. tan(g) =

Explanation:

Step1: Calculate side $GH$

Use Pythagorean theorem:
$$GH = \sqrt{IG^2 - IH^2} = \sqrt{53^2 - 45^2} = \sqrt{2809 - 2025} = \sqrt{784} = 28$$

Step2: Define tangent of $\angle G$

Tangent = opposite/adjacent:
$$\tan(G) = \frac{IH}{GH}$$

Step3: Substitute values and simplify

$$\tan(G) = \frac{45}{28}$$

Answer:

$\frac{28}{45}$