whalefish7469 whalefish7469
  • 25-08-2022
  • Physics
contestada

A triangle has sides of length 2, 3 and 4. what angle, in radians, is opposite the side of length 3?

Respuesta :

hannjr hannjr
  • 25-08-2022

Answer:

If one uses the cosine rule:       c^2 = a^2 + b^2 - 2 a b cos θ

3^2 = 2^2 + 4^2 - 16 cos θ

9 = 20 - 16 cos θ

cos θ = 11 / 16 = .6875

θ = 46.6 deg = 46.6 / 360 * 2 π = .813 rad

Check: 1 rad = 57.3 deg

.813 * 57.3 = 46.6 deg

Answer Link

Otras preguntas

A rectangle's length is three times its width.  Let w denote the rectangle's width.  What polynomial represents the rectangle's area?
How much force is needed to move a box to an acceleration of 1.5 m/s^2 and a mass of 50 kg?
The curtis car traveled an average of 21 miles per gallon of gas. At that rate, how far could the car travel on a full tank of 21 gallons
What are Gender Neutral Pronouns?
A can of drink is in the shape of a cylinder. The can has a radius of 4cm and a height of 15cm. Calculate the volume of the cylinder. You must include the corre
6010 males did a survey and 59.7% choose vanilla how many choose chocolate
find the sum of 12.56 and 45.89
what is pi and sqaue root of 3
What Is the State Motto of Nevada?
What is one tenth of 360°