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Answer:
the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min
Step-by-step explanation:
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later?
speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time
mathematically,
= Δs₁
= 14 km/min =
and will are to find the speed after passes the radar
=Δs₂ km/min =
to find d₁ and d₂ with respect to angle 45 degree at 4km
sin 45 = opp/hyp = 4/d₁
d₁ = 4/sin45 = 5.66km
tan 45 == opp/adj = 4/d₂
d₂ =4/tan45 = 4km
for three minute increment,
=3 x d₁ x Δs₁ = 3 x d₂ Δs₂
= 3x5.66x14 = 3x 4 xΔs₂
= 237.72 = 12Δs₂
=Δs₂ = 19.81km/min
Answer: 90%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 9/10 as a percent, we need to find a fraction
equivalent to 9/10 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have .
Now, we can use cross-products to find the missing value.
So we have (9)(100) which is 900 <em>is equal</em> to (10)(n) or 10n.
So we have 900 = 10n.
Next, dividing both sides of the equation by 10, we have <em>90 = n</em>.
So, 9/10 is equal to 90/100 or 90%.