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Katen [24]
2 years ago
13

Find the missing side. Round your answer to the nearest tenth.

Mathematics
2 answers:
SpyIntel [72]2 years ago
7 0

Answer:

23.6

Step-by-step explanation:

→ Identify length not given

Opposite

→ Find a formula without opposite

Cos = Adjacent ÷ Hypotenuse

→ Rearrange

Adjacent = Cos × Hypotenuse

→ Substitute

cos 38 × 30 = 23.6

Luba_88 [7]2 years ago
5 0

<u>Answer:</u>

x = 23.6

<u>Step-by-step explanation:</u>

To find the missing side of a right-angled triangle, first look at the given angle, and notice its relationships with the given and required sides.

In this case:

• The side adjacent to the given 38° angle is x (required).

• The hypotenuse is 30 units.

The trigonometric ratio that relates the adjacent side and hypotenuse of a triangle is cosine (cos), where:

\boxed{cos \space\ \theta = \frac{adjacent}{hypotenuse}}.

Substituting into the formula:

cos (38^{\circ}) = \frac{x}{30}

⇒ x = cos(38^{\circ}) \times 30

⇒ x = 23.6

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