Question

A plane flying horizontally at an altitude of 5 mi and a speed of 470 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 is 7 mi away from the station. For full credit I expect to see a well-labeled picture. Show all

work. Round your final answer to the nearest whole number. Do not round intermediate values.

Include units of measure in your answer.

Answer #1

A plane flying horizontally at an altitude of 1 mi and a speed
of 470 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 is 2 mi away from the station. (Round your answer to the nearest
whole number.)
mi/h

A plane flying horizontally at an altitude of 1 mi and a speed
of 480 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 is 4 mi away from the station. (Round your answer to the nearest
whole number.)

A plane flying horizontally at an altitude of 2 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 is 4 mi away from the station. (Round your answer to the nearest
whole number.)
mi/h

A plane flying with a
constant speed of 14 km/min passes over a ground radar station at
an altitude of 11 km and climbs at an angle of 35 degrees. At what
rate is the distance from the plane to the radar station increasing
4 minutes later?
The distance is increasing at ________________________
km/min.
Hint: The law of cosines for a triangle is
c2=a2+b2−2abcos(θ)
where θ
is the angle between the sides of length a and b.

A plane flying with a constant speed of 9 km/min passes over a
ground radar station at an altitude of 6 km and climbs at an angle
of 25 degrees. At what rate is the distance from the plane to the
radar station increasing 5 minutes later?
Hint: The law of cosines for a triangle is
c^2=(a^2)+(b^2)−2abcos(θ)
where ? is the angle between the sides of length a and b

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