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
DENIUS [597]
3 years ago
9

An airplane takes off from the ground and reaches a height of 500 feet after flying 2 miles. given the formula h = d tan θ, wher

e h is the height of the plane and d is the distance (along the ground) the plane has flown, find the angle of ascent θ at which the plane took off.

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Height covered by the plane=h= 500 feet

Distance covered by the plane along the ground=d= 2 mile

Now, convert the mile into feet,

1 mile = 5280 feet

2 mile = 10560 feet

Now, use the formula

h= d tanθ

tanθ= h/d

tanθ= 500/10560

tanθ= 25/528

Take the tan⁻¹ on both side,

θ= tan⁻¹(25/528)

θ =2.71°



You might be interested in
17 points if you know. Help please
vovangra [49]

Answer:

Step-by-step explanation:

Angles 153 and QRP are straight angles, and thus Angle QRP is

180 - 153, or 27 degrees.

The interior angles of the triangle must sum up to 180 degrees:

27 + (3y + 5) + (2y - 7) = 180.

combining like terms, we get:

5y - 25 = 180, or 5y = 155, or y = 31

Then Angle Q is 3(31) + 5, or 93

Angle P is 2(31) - 7, or 55, and

Angle QRP is 27 degrees (found earlier).

6 0
3 years ago
Prove x²+y² = (x+y) (x-y)​
gtnhenbr [62]

Answer:

(x+y)(x-y)

x^2 - xy + xy - y^2

x^2 - y^2

7 0
2 years ago
Simplify. (3x^2 + 3) - (6x + 4) + (3x^2 - 5x)
r-ruslan [8.4K]

Answer:

6x^2 -11x -1

Step-by-step explanation:

(3x^2 + 3) - (6x + 4) + (3x^2 - 5x)

Distribute the minus sign

(3x^2 + 3) - 6x - 4) + (3x^2 - 5x)

Combine like terms

3x^2 + 3x^2 - 6x  - 5x -4+3

6x^2 -11x -1

3 0
3 years ago
When looking at a decimal number (ex. 6.349821477...) what are some of the characteristics that will help you identify if the nu
quester [9]

Answer:

To determine whether a decimal is rational or not, you need to know that...

Irrational numbers don't end and have no pattern whereas rational numbers are the complete opposite. Rational numbers end and have a repeating pattern.

Step-by-step explanation:

Here are examples of irrational numbers:

0.9384903204..... , π , √2

Examples of rational numbers:

0.777777... (is rational because it has a repeating pattern of 7) , √49

Hope this helps :)

5 0
2 years ago
Can someone please help me on this geometry test, serious inquiries only, be a real one
saveliy_v [14]
I took geometry a while ago, I can help if you want.
5 0
2 years ago
Other questions:
  • Which expression is a possible leading term for the polynomial function graphed below?
    9·1 answer
  • What is the answer to -2r = -13
    7·2 answers
  • 16. The temperature on the ground during a plane's takeoff was -7°F. At 38,000 feet in the air, the temperatureoutside the plane
    14·1 answer
  • Margie's car can go 32 miles on a gallon of gas, and gas currently costs 4 per gallon. How many miles can Margie drive on $20 wo
    8·1 answer
  • dibuja un triangulo de catos de 15cm, 8cm. al unir sus puntos medios resulta un triangulo semejante a este
    12·1 answer
  • I can't figure out how to do this problem.
    11·2 answers
  • My dad left to get milk I think I lost him can y help me find him
    15·2 answers
  • There are 75 students in classes A and B altogether. There are 61 students in classes A and C altogether. The ratio of the numbe
    9·2 answers
  • PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP
    9·2 answers
  • True of false: 1+1 has the same answer as 1x1
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!