Question

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

What are the steps to finding missing sides

Answer 1

23.6

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

`x = 23.6`

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 = (adjacent)/(hypotenuse)}`.

Substituting into the formula:

`cos (38^(\circ)) = (x)/(30)`

⇒
`x = cos(38^(\circ)) * 30`

⇒
`x = 23.6`