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vfiekz [6]
3 years ago
8

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.

Mathematics
2 answers:
Zolol [24]3 years ago
6 0

Answer:

21

Step-by-step explanation:

dybincka [34]3 years ago
6 0

Answer:

I got 3.9

Step-by-step explanation:

I used Sin Law to answer this question. Angle Z corresponds with the side that it face. So it will be 8/sin(90) = x/ sin(57) Where x is the side that you are looking for. Once you cross multiply you get 8sin(57) = x sin(90). After that divide sin(90) to solve for x, which is the side that you are looking for. And I got 3.9 to the nearest tenth of a foot.

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tiny-mole [99]

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Answer:

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Step-by-step explanation:

The whole is equal to the sum of the parts.

  DG = DO +GO

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Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Effectus [21]

Using a trigonometric identity, it is found that the equivalent expression is given by 1.

<h3>What are the trigonometric identities used to solve this question?</h3>

Relating sine and cosine, we have that:

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Then:

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For the tangent, we have that:

\tan{\beta} = \frac{\sin{\beta}}{\cos{\beta}}.

For the secant, we have that:

\sec{\beta} = \frac{1}{\cos{\beta}}.

In this problem, the expression is:

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More can be learned about trigonometric identities at brainly.com/question/7331447

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