Read the excerpt below and answer the question. i never see such an old ostrich for wanting to gobble what type of figurative language is present in this sentence? alliteration hyperbole metaphor simile

So the answer is definitely a metaphor!

B. Hyperbole

Explanation:

The excerpt provided is a figurative language which makes use figures of speech to achieve impact, persuasion and emphasis.

Alliteration, Hyperbole, Metaphor and Simile as all examples of figures of speech.

Alliteration: places a number of words with similar consonant sounds to occur next to each other in a series etc. For example: A big bully beats a baby boy.Hyperbole: exaggerates on ideas to emphasis a situation. For example:  She has been dying to get a new shoe.Metaphor: makes use of a hidden comparison between two different things, two things that have nothing  in common but at the same time share same characteristics. For example: The news was music to my ears.Simile: makes direct comparisons between two unrelated things, by using  the words "like" and "as". For example: She is as large as life.

The excerpt provided there is no comparison but an exaggeration of facts as ostriches are said to gobble their food

Correct  cos(α - β) = 140/221

Step-by-step explanation:

cosα = ±√(1 - sin²α) => cosα = ±√(1 - (-5/13)²) = ±√(1 - (25/169)  

cosα = ±√(169 -25)/169 = ± √144/169

cosα = ± 12/13  since it is given that α (alpha) ends in the third quadrant

we choose  cosα = - 12/13

we know that is  tanβ = sinβ/cosβ = - 8/15 or sinβ : cosβ = 8 : 15 =>

sinβ = 8k and cosβ = 15k  where k is the coefficient of proportionality

we know the basic trigonometric equality

sin²β + cos²β = 1    when we replace the coefficients we get

(8k)² + (15k)² = 1 => 64k² + 225k² = 1 => 289k² = 1 => k² = 1/289 =>

k = 1/17   now we get sinβ and cosβ

since it is given that  β (beta) ends in the second quadrant

sinβ = 8/17 and cosβ = - 15/17

As we know it is:

cos(α - β) = cosα cosβ + sinα sinβ = - 12/13 · (- 15/17) + (- 5/13) · 8/17 =>

cos(α - β) = 180/221 - 40/221 = 140/221

cos(α - β) = 140/221

God is with you!!!