The correct question is
The orbit of the space shuttle is approximately a circle with a radius of 4100 mi. How far do
the astronauts travel with each orbit?
we know that
[the circumference of a circle]=2*pi*r
for r=4100 mi
[the circumference of a circle]=2*pi*4100-----> 25761.06 mi
the answer is
25761.06 mi
Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
