Question

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

Explanation:

Step1: Find side IG length

Use Pythagorean theorem:
$$IG = \sqrt{IH^2 - GH^2} = \sqrt{85^2 - 36^2} = \sqrt{7225 - 1296} = \sqrt{5929} = 77$$

Step2: Define tangent for ∠H

Tangent = opposite/adjacent:
$$\tan(H) = \frac{IG}{GH}$$

Step3: Substitute values and simplify

$$\tan(H) = \frac{77}{36}$$

Answer:

$\frac{77}{36}$