Question

Find cos theta, please help!

Answer 1

21/29

Explanation:

`\cos \theta = (AC)/(AB) = (42)/(58) = (21)/(29) \\`

Answer 2

21/29

Explanation:

Recall that the cosine ratio is the adjacent side over the hypotenuse.

From the triangle, the adjacent side to angle Θ is 42. The hypotenuse (opposite from the right angle) is 58. Therefore:

`\cos(\theta)=adj/hyp`

Substitute 42 for the adjacent side and 58 for the hypotenuse:

`\cos(\theta)=42/58`

Reduce:

`\cos(\theta)=21/29`

And we're done!