jamiemarilia
Answered

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A plane flying horizontally at an altitude of 3 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 4 mi away from the station. (Round your answer to the nearest whole number.)

Sagot :

richardsonalexis76

Answer:

415.7 mph or mph

Step-by-step explanation:

Did you make a sketch and got a right-angled triangle?

let the horizontal distance between the plane and the station be x miles

let the distance between the plane and the station be y miles

given: dx/dt = 480 mph

find: dy/dt when y = 6

y^2 = x^2 + 3^2

when y = 6

36 = x^2 + 9

x = √27

2y dy/dt = 2x dx/dt

dy/dt = (x/y)dx/dt

= √27(480)/6

= 415.7 mph or 416 mph

i think i hope this helps

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