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White raven [17]
3 years ago
5

In right triangle XYZ, triangle Y is the right angle and m angleX = 60 degrees. If YZ= 4 what is XY

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0

Answer:

b, i took the test and got it right

Marina86 [1]3 years ago
3 0

Answer:

XY = \frac{4\sqrt 3}{3}

Step-by-step explanation:

<em>The question is illustrated with the attached figure.</em>

Required

Determine XY

To solve for XY, we make use of the tan function, which states that:

tan\theta = \frac{Opposite}{Hypotenuse}

In this case:

tan\ 60= \frac{YZ}{XY}

Substitute 4 for YZ

tan\ 60= \frac{4}{XY}

Make XY the subject

XY= \frac{4}{tan\ 60}

tan\ 60 =\sqrt 3

So, the expression becomes:

XY = \frac{4}{\sqrt 3}

Rationalize:

XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}

XY = \frac{4\sqrt 3}{3}

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