1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elden [556K]
2 years ago
7

n airplane took off from an airport and traveled at a constant rate and angle of elevation. When the airplane reached an altitud

e of 500 m, its horizontal distance from the airport was found to be 235 m. What was the angle when the airplane rose from the ground?
Mathematics
1 answer:
hram777 [196]2 years ago
7 0

The angle of the plane when it rose from the ground is 64.8 degrees

<h3>Application of trigonometry identity</h3>

Given the following parameters from the question

Altitude of the airplane H =  500m

Horizontal distance from airport "d"  = 235

Required

angle of elevation

According to the trigonometry identity

tan x = opposite/adjacent

tan x = H/d
tan x = 500/235

tan x = 2.1277

x = arctan(2.1277)

x = 64.8 degrees

The angle of the plane when it rose from the ground is 64.8 degrees

Learn more on angle of elevation here: brainly.com/question/88158

#SPJ1

You might be interested in
A light bulb manufacturer claims that the lifetime of the bulbs is normally distributed with a mean of 5000 hours and a standard
daser333 [38]

Answer:

88

Step-by-step explanation:

8 0
3 years ago
There are 4 such boxes containing toffee and mints Mary take 8 toffees and 26 mints from the boxes what is the ratio of the numb
Anettt [7]

Answer:

4:13

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

8 : 26

divide each number by 2

4 : 13

5 0
2 years ago
2x+3y + 2z = 0<br>5x – 3y +4=1<br>7x+9y-4z=11​
Butoxors [25]
Download photograph !
4 0
3 years ago
What is the value of x in this figure?
crimeas [40]

Answer:

26°

Step-by-step explanation:

x = 90° - 64° = 26°

5 0
3 years ago
Evaluate the surface integral:S
rjkz [21]
Assuming S does not include the plane z=0, we can parameterize the region in spherical coordinates using

\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle

where 0\le u\le2\pi and 0\le v\le\dfrac\pi/2. We then have

x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v
(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v

Then the surface integral is equivalent to

\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du

We have

\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle
\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle
\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle
\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v

So the surface integral is equivalent to

\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du
=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv
=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw

where w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv.

=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}
=\dfrac{243}2\pi
4 0
3 years ago
Other questions:
  • A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16
    6·1 answer
  • Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
    6·1 answer
  • Whats 6\10 subtracted by 1\5
    8·2 answers
  • Solve for x: −2x + 5 &lt; 7<br><br><br> x &gt; −1<br> x &lt; −1<br> x &gt; −6<br> x &lt; −6
    7·2 answers
  • A manufacturer estimates that the average worker can assemble products according to the function P(t)=8.47t+10t+6 where t ≥ 0 ,
    8·1 answer
  • NEED ANSWER ASAP PLEASEEE!!
    12·1 answer
  • Expression in expanded form for 3.339
    11·1 answer
  • Kathy owns a farm house which contains 'birds and cows. There are 25 animals
    9·2 answers
  • WILL GIVE BRAINLIEST
    6·1 answer
  • At the end of the month, you noticed that the budgeted amount you planned to spend on certain items did not match what you actua
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!