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

Question 6. Which expression is equivalent to 3x(x-6)+5(x-4)?
Explain whether or not you think civil rights legislation is still needed today.
Explain whether or not you think civil rights legislation is still needed today.
PLZ HELP ASAP ITS KHAN WILL GIVE 5 STARS AND HEART AND 10 POINTS AND BRAINLIST
After the launch of Sputnik, which nation increased its education requirements in science? A. China B. Great Britain C. United States D. USSR
Which of the following is an example of a physical, rather than a chemical, change?
Solving the quadratic equation 3x^2+12x=-14 by quadratic formula
A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when
A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9,492 w
look below for the image