Question

Find the value of x

Answer 1

The correct answer is second option 19.1

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

Answer 2

19.1

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:

`(sin(A))/(a) = (sin(B))/(b) = (sin(C))/(c)`

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

`c = (sin(C) * a)/(sin(A)) = (sin(71) * 18)/(sin(63)) = 19.10`

So, the answer is the second one.