Respuesta :

sylvain96

Answer:

19.1

Step-by-step explanation:

Let's assign some variables to this triangle.

angle A = 63°

angle B = unknown

angle C = 71°

side a = 18

side b = y

side c = x

By the law of sins, applicable to ALL triangles, we have:

[tex]\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}[/tex]

Let's then take the equation for angles A and C, in order to isolate the c (which is our x to find).

we then have

[tex]c = \frac{sin(C) * a}{sin(A)} = \frac{sin(71) * 18}{sin(63)} = 19.10[/tex]

So, the answer is the second one.

imlittlestar

Answer:

The correct answer is second option  19.1

Step-by-step explanation:

From the figure we can see that, a triangle.

Le z be the perpendicular distance

To find the value of x

Using trigonometric ratio we can write

Sin 71 = Z/18

Z = 18 * Sin 71 = 17.01

Sin 63 = Z/x

x = Z/Sin 63 = 17.01/0.891 = 19.1

Therefore the correct answer is optin d.   19.1