Question

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

Answer 1

Answer:

b, i took the test and got it right

Answer 2

Answer:

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

Step-by-step explanation:

The question is illustrated with the attached figure.

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:

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

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