Question

Use the triangle to find the cos. Write answer as an unsimplified fraction and as a decimal roundedto 3 decimal places.a = 3.0'. b = 1.8' c=3.5'

Answer 1

• The value of cos θ as an unsimplified fraction = 1.8/3.5

,

• The value as a decimal rounded to 3 decimal places = 0.514.

Explanation:

Cosine is the ratio of the adjacent side to the hypotenuse.

In the right triangle:

• The side adjacent to θ b = 1.8

,

• The hypotenuse, c = 3.5

Therefore:

`\begin{gathered} \cos\theta=(b)/(c) \\ =(1.8)/(3.5) \\ \approx0.514 \end{gathered}`

• The value of cos θ as aniunsimplified fraction = 1.8/3.5

,

• The value as a decimal rounded to 3 decimal places = 0.514.