1. The great galaxy in Andromeda has an angular diameter along its long axis of about 5^0. Its distance is about 2.2 million light years. What is its linear diameter?
angle*distance= arc distance.
You need the angle in radians to do this.
no
To find the linear diameter of the great galaxy in Andromeda, we can use the formula:
arc distance = angle * distance
However, since the angle is given in degrees and the formula requires the angle in radians, we need to convert it.
To convert degrees to radians, we use the following formula:
radians = degrees * (π/180)
Let's first convert the angle from degrees to radians:
angle = 5° * (π/180)
angle ≈ 0.0873 radians
Now, we can plug in the values into the formula:
arc distance = 0.0873 radians * 2.2 million light years
Calculating the arc distance, we get:
arc distance ≈ 191,860 light years
Therefore, the linear diameter of the great galaxy in Andromeda is approximately 191,860 light years.