Question

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

Answer 1

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

Answer 2

Answer:

$x = 23.6$

Step-by-step explanation:

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:

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

⇒ $x = cos(38^{\circ}) \times 30$

⇒ $x = 23.6$