The distance of plane from the origin is 357.14 miles
<u>Explanation:</u>
Given:
distance traveled southwards, y = 600 miles
Distance traveled east of south, z = 250 miles
Angle, θ = 35°
Distance of plane from the origin, x = ?
The figure is attached for reference:
tan θ = Perpendicular / base
tan θ = distance travelled east of south / x
tan 35° = 250 / x
we know,
tan 35° = 0.7
So,

Therefore, the distance of plane from the origin is 357.14 miles
Answer: 0.01:0.11
Step-by-step explanation:
11 goes into 121
11 times
So if you simplify that you’d get 0.01:0.11
Answer:
x=2.65
Step-by-step explanation:
First, we need to figure out how much the length of the sides is changing between the equations. In this case it is changing by a factor of 2.5. Now we need to work backwards. First use this equation:

This is because whatever the length of the side with x is, will be 14/2.5. So divide both sides by 2.5:

Next, add 5 to both sides:

Then divide both sides by 4:

456,231. 456,321. 465,321