9514 1404 393
Answer:
64 degrees
Explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between triangle sides and trig functions. Here, the marked sides are opposite and adjacent to the marked angle, so the relevant relation is ...
Tan = Opposite/Adjacent
tan(θ) = 29/14
To find the angle measure, we use the inverse function. It may be called tan⁻¹ on your calculator. It also goes by the name "arctangent." The term "arctan" can be thought of, or even pronounced as, "the angle whose tangent is ...".
θ = arctan(29/14) = 64.23°
The measure of angle θ is about 64°.
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Additional comment
The default units for angle measure are radians in most spreadsheets and on-line calculators. You need to make sure your hand-held calculator mode is set to give angles in the units you want. Here, we've given the angle in degrees, which is usually what is expected in problems like this.