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torisob [31]
3 years ago
6

Find the value of x

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
7 0

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:

\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{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 = \frac{sin(C) * a}{sin(A)} = \frac{sin(71) * 18}{sin(63)} = 19.10

So, the answer is the second one.

fenix001 [56]3 years ago
5 0

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

<u>To find the value of x</u>

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

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