Respuesta :

Answer:

x≈11.8

Step-by-step explanation:

Since this is a right triangle, we can use cosine to find the length of CD.

First, set up an equation, then solve:

cos(49°)=18/x

x=18/cos(49°)

x≈ 11.80906252

rounded to the nearest tenth of a foot:

x≈11.8

Answer:

Step-by-step explanation:

Remark

The adjacent side is one of the two sides making up the acute angle in a right triangle. The second side is the Hypotenuse.

Givens

Cos(C) = side Adjacent / Hypotenuse

Cos(49) = 0.6561

Side Adjacent = 18

Solution

Cos(C) = side adjacent / Hypotenuse       Multiply both sides by the hypotenuse

Hypotenuse * Cos(C) = Side Adjacent     Divide by Cos(C)

Hypotenuse = Side Adjacent /  Cos(C)

Hypotenuse = 18 / Cos(C)

Hypotenuse = 18 / 0.6561

Hypotenuse =      27.437