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27. find the measure of gj?

Question

  1. find the measure of gj?

Explanation:

Step1: Use cosine function

In right - triangle \(GHJ\), \(\cos J=\frac{GJ}{HJ}\). Given \(J = 60^{\circ}\) and \(HJ = 37.4\).

Step2: Calculate \(GJ\)

Since \(\cos60^{\circ}=\frac{1}{2}\), then \(GJ=HJ\times\cos60^{\circ}\). Substitute \(HJ = 37.4\) into the formula: \(GJ = 37.4\times\frac{1}{2}\).

Answer:

\(18.7\)