The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.

Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No

Answer: 150 m, 5.305*10^-5 kW/m^2, No

Step-by-step explanation:

See attachment, hope this helps

Using the radiation intensity formula we will have to:

a) [tex]150 m[/tex]

b) [tex]5.305*10^{-5} kW/m^2[/tex]

c)No

From the data informed, we have:

[tex]h=150m\\P=40KW[/tex]

Using the given formula and performing some mathematical operations:

[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]

deriving the given equation, we will have:

[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]

So from this equation we have that the answer of the letter A corresponds:

[tex]R=150[/tex]

For letter B we will have to develop this equation:

[tex]I= 5.30X10^{-5}[/tex]

As for the letter C, when converting the value found, it should give 200 microwatts, which is false.

Learn more: brainly.com/question/10148635

Question in on picture attached

What is the slope of the line shown in the graph?

$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced

if x = 5 find the value of a) x² b) (x + 3)²

PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?

Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?

Help please ASAP !

What are the coordinates of point P?



O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)

Find the area of a circle with a radius of 6 feet. Use 3.14 for pi

y=1/2x-4 in Standard Form

300
O
3) What is the value of x?
69'
7090
7100
3D

3/10y - 2/5 i need to find the coefficient and i dont know how

does anyone know the answer?

Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG

John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.


How much money did John earn over a nine week term?

After 9 weeks, John had $378 in his jar. What percentage of his money did he save?

Answer Please will give brainliest.

Determine the domain of each graph:

I really need help with this one it's due today!!

Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?

Please help? :)​

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

i need help fast please

Solve this and show steps

4.5×8-(0.4+9.6-(3.6-1.8))
​

PLS HELP ASAP ILL GIVE BRAINLKEST

5^-15 rewritten using a positive exponent.

(x + 1)(x + 2)(x + 1)(3x + 2)

Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?

b. Can he buy 2 pair of pants and 4 shirts?

c. Show the solution graphically.

Please answer quickly!

I need it right now .

Draw triangle GMT

PLS CREATE DRAWING!! refer to attachment

Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?​