Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!

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02-04-2022
Mathematics

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Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!

Sagot :

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sqdancefan sqdancefan · Answer 1 · 2022-04-02T22:27:31-04:00

Answer:

6.2 units

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.

Common segment

To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:

Sin = Opposite/Hypotenuse

Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591

__

Missing measure

The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...

Cos = Adjacent/Hypotenuse

Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106

The length of the side marked x is about 6.2 units.

Sagot :

Common segment

Missing measure

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