villalona744 villalona744
  • 02-08-2021
  • Mathematics
contestada

In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth. law of sines 4

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-08-2021

9514 1404 393

Answer:

  a ≈ 12.8

Step-by-step explanation:

To find 'a' using the law of sines, we need the measure of the angle opposite a given side. Here, that would be angle C.

  C = 180° -A -B = 180° -45° -25° = 110°

Now, we can find 'a' to be ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = 17·sin(45°)/sin(110°)

  a ≈ 12.7923

  a ≈ 12.8 . . . . rounded to tenths

Ver imagen sqdancefan
Answer Link

Otras preguntas

what is the cause and effect for the french citizens armies win their revolution for liberty and equality
The process by which rocks are broken down into smaller fragments by the atmosphere and other factors in the environment is called?
Buck drove 220 miles in 5 hours. What was his average rate of speed?
The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area
other name for blood
The dimensions of a brick that weighs 25 N are 0.19 m × 0.07 m × 0.095 m. What pressure does the brick exert on the ground if it is resting on its largest face?
what time is 9 hours and 30 minutes before. 4:25
Which of the following rivers is the world's busiest waterway ?
The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area
The entire region of Northern Africa and southwest Asia has a climate generally described as?