Question

Please answer this in two minutes

Answer 1

Answer:

$x = 6.6$

Step-by-step explanation:

Given ∆WXY,

<X = 15°

<Y = 23°

y = 10

x = ?

To find side x, use the Law of sines as shown below:

$\frac{x}{sin X} = \frac{y}{sin Y}$

Plug in the values of y, Y, and X

$\frac{x}{sin 15} = \frac{10}{sin 23}$

$\frac{x}{0.2588} = \frac{10}{0.3907}$

Cross multiply

$x*0.3907 = 10*0.2588$

Divide both sides by 0.3907 to solve for x

$\frac{x*0.3907}{0.3907} = \frac{10*0.2588}{0.3907}$

$x = \frac{2.588}{0.3907}$

$x = 6.624$

$x = 6.6$ (to nearest tenth)