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nlexa [21]
3 years ago
14

I am struggling can i get some help?

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0
Yes! what’s your question?
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A plane flying horizontally at an altitude of 1 mile and a speed of 570 mi/h passes directly over a radar station. Find the rate
valina [46]

The rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.

We assume the station to be at point A.

The plane when directly over the station, takes point C.

As it is flying horizontally continuously at an altitude of 1 mile, AC = b = 1 mile.

The plane flies continuously, and when it is at a distance of 3 miles from the station, it is at point B.

The distance between the plane and the station of 3 miles can be shown as AB = c = 3 miles.

The movement of the plane from C to B can be shown as BC = a.

Now, from the given case, we get a right triangle ABC.

By Pythagoras' Theorem,

a² + b² = c² ... (i).

or, a² + 1² = 3²,

or, a² = 9 - 1 = 8,

or, a = 2√2 miles.

We are told that the plane is moving at a speed of 570 miles/hour.

This can be shown as, da/dt = 570 miles/hour.

As the plane is moving horizontally, the vertical distance between the plane and the station doesn't change, that is, db/dt = 0.

In the question, we are asked to find the rate at which the distance from the plane to the station is increasing, that is, we are asked to find dc/dt.

Differentiating (i), with respect to time t, we get:

2a(da/dt) + 2b(db/dt) = 2c(dc/dt).

Substituting values of a = 2√2 miles, b = 1 mile, c = 3 miles, da/dt = 570 miles/hour, and db/dt = 0, we get:

2(2√2)(570) + 2(1)(0) = 2(3)(dc/dt),

or, 2280√2 + 0 = 6(dc/dt),

or, dc/dt = 380√2 miles/hour = 537.40 miles/hour ≈ 537 miles/hour.

Thus, the rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.

Learn more about the Pythagoras Theorem and Differentiation at

brainly.com/question/15291822

#SPJ4

4 0
2 years ago
PLEASE HELP
riadik2000 [5.3K]

Answer:

Ok. so let's teach you how to find the angles of a triangle. When you add all three sides, they must equal 180 degrees. Because of this, let's do some math. What is 96+35. Ima pretend you said 131 and so you would be right. Now let's subtract that from 180 degrees. 180-131 is 49 and so x is 49 degrees. Hope this helps!!

3 0
3 years ago
The product of two consecutive negative integers is 600. What is the value of the lesser integers
Roman55 [17]

I think the answer is -25

3 0
3 years ago
Read 2 more answers
Which shapes contain at least one right angle?<br><br> Select each correct answer.
Andrej [43]
1: Trapezoid
2: rectangle!

STEP BY STEP EXPLINATION


A right angle is exactly 90 degrees, so if the pentagon has 108 degree angles, it’s not a right Angle!

The parallelogram has 107 degree angles and 73 degree angles, it’s not exactly 90.
The trapezoid has two right angles! The two sides make a right angle at the vertex! So, it has a right angle!
Same thing for the rectangle!



HOPE THIS HELPS! HAVE A GREAT DAY!
8 0
2 years ago
Read 2 more answers
Find the value of x for which m ll n
Nikitich [7]
Set the expressions equal to each other to get 17
3 0
3 years ago
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