Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
sin(α) = 3/4
and
cos(α) = √(1 - (3/4)²) = (√7)/4
The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
(440 mph)×(√7)/4 ≈ 291 mph
Answer:
Step-by-step explanation:
Answer:
10 hours
Step-by-step explanation:
Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:
15 + 2x = 35
Subtract 15 from both sides
2x = 20
Divide by 2 on both sides
x = 10
