Fab9jormstoPan4cisa
Fab9jormstoPan4cisa Fab9jormstoPan4cisa
  • 01-06-2016
  • Mathematics
contestada

Solve the triangle.
A = 33°, a = 19, b = 14
Select one:
a. B = 23.7°, C = 143.3°, c ≈ 23.3
b. B = 23.7°, C = 123.3°, c ≈ 17.5
c. Cannot be solved
d. B = 23.7°, C = 123.3°, c ≈ 29.2

Respuesta :

metchelle
metchelle metchelle
  • 12-06-2016
Using the sine law to find the value of angle B:

a / sin A = b / sin B
19 / sin 33 = 14 / sin B

B = arcsin (14 * sin 33 / 19 )
B = 23.66° = 23.7°

Since the sum of all interior angles of a triangle is 180
°, we can solve for angle C like so:

C = 180
° - 23.7° - 33°
C = 123.3°

Using sine law to solve for side c:

a / sin A = c / sin C
c = (a*sin C)/sin A
c = 29.157 = 29.2

Therefore, among the choices, the correct answer is D.

Answer Link
7302kzh04 7302kzh04
  • 13-02-2022

Answer:

D.

Took the test

B=23.7 degrees

C=123.3 degrees

c=29.2

Answer Link

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