lawrencea073
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Given the triangle below, what is m 2A, rounded to the nearest tenth?
B
18
11
309
A
C
Triangle not drawn to scale
A. 17.8
OB. 20.4
O C. 24.2
D. 26.8

Given the triangle below what is m 2A rounded to the nearest tenth B 18 11 309 A C Triangle not drawn to scale A 178 OB 204 O C 242 D 268 class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  A.  17.8°

Step-by-step explanation:

We have an angle and an opposite side, so we can use the law of sines to find the angle of interest.

  sin(A)/a = sin(C)/c

  A = arcsin(a/c·sin(C)) = arcsin(11/18·1/2) = arcsin(11/36)

  A ≈ 17.7916° ≈ 17.8°

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