Find the measure of the acute angle x. Round your answer to the nearest tenth, if necessary.
29.1
0.01
60.9
0.03
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Answer:
29.1°
Step-by-step explanation:
You can use your good sense to select the correct answer.
You know it is not near zero (so, not 0.01 or 0.03—neither of which is rounded to the nearest tenth). Since the adjacent side is longer than the opposite side, you know the angle is less than 45°. (Of the two complementary angles X and T, X is the smaller.) That only leaves one answer choice.
If you really need to figure it out, use SOH CAH TOA to remind you ...
... Tan(X) = Opposite/Adjacent = (5 in)/(9 in)
... X = arctan(5/9) ≈ 29.1° . . . . . make sure your calculator is in degrees mode