caerb
caerb caerb
  • 23-07-2019
  • Mathematics
contestada

In triangle ABC, a = 4, b = 7, and c = 10. Find A.
18°
34°
56°
162°

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 28-07-2019

Answer:

  18°

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² + c² -2bc·cos(A)

Solve for cos(A) and fill in the numbers. Note that the value of cos(A) is very close to 1, so the angle will be fairly small. This by itself can steer you to the correct answer.

  cos(A) = (b² +c² -a²)/(2bc) = (49 +100 -16)/(2·7·10) = 133/140

  A = arccos(133/140) ≈ 18.2° ≈ 18°

Answer Link

Otras preguntas

What subsets of real numbers does -22 belong too.
what does capulet do when Tybalt threatens to confront Romeo at the party
A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, non stop, directly across the diameter of the signal,
how do you write 126 divided by 7 in distributive property
What is 439 over 937 in simplest form
how to write the name of the period that hasthe digits 91
If the ratio of men to women in a movie theater is 1.00 when written as a decimal, what must be true?
what is the fraction of 8.5%
What were the main classical values returned with humanism?
which toll can be used to measure the volume of a liquid to one decimal point. A. a beakerB. a graduated cylinderC. an Erlenmeyer flaskD. a test tube