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2 years ago

HELP ME !!! GEOMETRY

Mathematics

1 answer:

ahrayia [7]2 years ago

6 0

Answer:

(b) 33

Step-by-step explanation:

The side opposite x° and the hypotenuse are given. That means the relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(x°) = 6/11

The value of the angle is found using the inverse sine function:

x° = arcsin(6/11) ≈ 33.056°

x ≈ 33

_____

<em>Additional comment</em>

If you recall, the side length ratios of the "special" 30°-60°-90° triangle are 1:√3:2. Here, you have a shortest:longest side ratio that is 6:11 ≈ 6:12 = 1:2. This means the angle will be only slightly greater than 30°.

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