Question

Which equation could be used to solve for the length of XY? XY = (22)sin(41°) XY = (22)cos(41°) XY = XY =

Answer 1

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Answer:

D. $XY = \frac{22}{sin(41)}$

Explanation:

The given triangle is a right-angled triangle. Therefore, we can simply apply the special trigonometric functions here.

These functions are as follows:

$sin(theta) = \frac{opposite}{hypotenuse} \\ \\ cos(theta) = \frac{adjacent}{hypotenuse}\\ \\  tan(theta) = \frac{opposite}{adjacent}$

Now, for the given triangle, we have:

theta = 41

XY is the hypotenuse of the triangle

XZ is the side opposite to theta given as 22

Now, we can use the sin function as follows:

$sin(41) = \frac{22}{XY}$

This implies that:

$XY = \frac{22}{sin(41)}$

Hope this heps :)