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4 years ago

The angle of depression from an airplane to the top of an air traffic

Mathematics

1 answer:

faust18 [17]4 years ago

3 0

<h3>Answer: approximately 8600.33397283284 feet</h3>

Round this however you need to.

===========================

Work Shown:

Check out the diagram below. We have the following points

A = base of the tower
B = point on the ground directly below the airplane
C = top of the tower
D = plane's location
E = point used to form the angle of depression

Based on those points, we know that

AC = 320 = height of tower
BD = 7450 = height of plane
CE = BD - AC = 7450-320 = 7130 = difference between the two heights

Which allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.

sin(angle) = opposite/hypotenuse

sin(angle EDC) = CE/CD

sin(56) = 7130/x

x*sin(56) = 7130

x = 7130/sin(56)

x = 8600.33397283284 approximately

Make sure your calculator is in degree mode.

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Suppose you live 4.4 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the p

IrinaVladis [17]

█ Explanation █

Let's call the missing altitude 'x'.

✦ To find the plane's altitude, find the tan of 30 degrees. The side opposite is going to be x, while the side adjacent is going to be 4.4 miles.
✦ $Tan(30)= \frac{x}{4.4}$
✦ $5.7735= \frac{x}{4.4}$
✦ $x=4.4*.57735$
✦ $x=4.4*.55735$
✦ $x=2.54 mi$
✦ We usually write altitude in feet.

Answer: 2.54 * 5280 ~ 13,400 ft

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia

4 0

3 years ago

Some one please help with any of these!!!!

lidiya [134]

11.) y=(4/5)x-(12/5)

8 0

3 years ago

A division problem is shown below.

natima [27]

Answer: D

Step-by-step explanation: Hope this helps :)

4 0

3 years ago

A fast food restaurant processes on average 5000 pounds of hamburger per week. The observed inventory level of raw meat, over a

elixir [45]

Answer:

0.5 week

Step-by-step explanation:

The time spent by a pound of meat in this system is given by the average number of pounds of meat on inventory (2500 pounds) divided by the average weekly meat consumption (5000 pounds per week).

The time, in weeks, is:

$t=\frac{2500\ pounds}{5000\ pounds/week} \\t= 0.5\ week$

The average time spent by a pound of meat in production is 0.5 week.

6 0

3 years ago

1. A square floor tile has an area of (x2 + 8x +16) in2. The side length of the tile is of the form cx + d, where c and d are wh

krok68 [10]

A) x2 + 8x + 16
= x2 + 4x + 4x + 16
= x(x+4) + 4(x+4)
= (x+4)(x+4) these are the equations of the two sides - they are the same because it is square. So the equation of one side is 1x + 4

b) The perimeter is the sides all added together, so that is
x+4+x+4+x+4+x+4 = x+x+x+x+4+4+4+4
= 4x+16 or 4(x+4)

c) When x=8 then the the perimeter is 4 lots of 8+4 inches which is 1 foot. 4 lots of 1 is 4, so the perimeter is 4 feet.

2) The difference of two squares can be written in the form x2 - y2. This can be written as (5n)2 -20, but because 20 is not a square number it can't be written as something-squared.

4 0

3 years ago