9514 1404 393
Answer:
37.4°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and sides of a right triangle. Here, you're given the sides adjacent and opposite the angle marked x°, so the relevant relation is ...
Tan = Opposite/Adjacent
tan(x°) = EF/FG = 2.6/3.4
x° = arctan(2.6/3.4) . . . . . use the inverse tangent relation
x° = 37.4°
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When you use your calculator to find the angle, you need to make sure its mode setting is "Degrees", not "Radians."
