Answer:
58.0°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides of a right triangle and trig functions of the acute angles.
<h3>Application</h3>
Here, the hypotenuse of the triangle is given (17 cm), as is the side adjacent to angle x (9 cm). This suggests using the relation ...
Cos = Adjacent/Hypotenuse
cos(x) = (9 cm)/(17 cm) = 9/17
The angle for this cosine value is found using the inverse trig function.
x = arccos(9/17)
x ≈ 58.034°
Rounded to the nearest tenth, the angle is ...
x = 58.0°
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<em>Additional comment</em>
Of course, the angle y is the complement of this:
y = 32.0°
