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
Darya [45]
3 years ago
12

Two runners in a marathon determine that the angles of elevation of a news helicopter covering the race are 38 degrees and 45 de

grees. If the helicopter is 1700 feet above the finish line, how far apart are the runners? (Round your answer to the nearest foot) *

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

476 feet

Step-by-step explanation:

The given problem when graphically depicted forms a right triangle which has been attached below.

We want to determine the distance between Runner A and Runner B in the diagram.

Using Trigonometric Ratios

In Right Triangle AHC

\tan 38^\circ =\dfrac{1700}{AC} \\$Cross multiply$\\AC *\tan 38^\circ =1700\\AC =\dfrac{1700}{\tan 38^\circ}\\\\=2175.9$ feet

In Right Triangle BHC

\tan 45^\circ =\dfrac{1700}{BC} \\$Cross multiply$\\BC *\tan 45^\circ =1700\\BC =\dfrac{1700}{\tan 45^\circ}\\\\=1700$ feet

The distance between the two runners,

AB=AC-BC

=2175.9-1700

=475.9

=476 feet ( to the nearest foot)

You might be interested in
Evaluate the expression (-1/2)^3
Vinil7 [7]
-1/8 is the anwser. Hope this helps!
6 0
3 years ago
Read 2 more answers
Simplify 3x⁵y³ ÷2y² step by step​
seropon [69]

Answer:

3/2 x^5 y

Step-by-step explanation:

3x^5y^3

----------------

2y^2

Simplify the y terms

y^3 / y^2 = y^(3-2) = y

3/2 x^5 y

8 0
3 years ago
Read 2 more answers
HELP HELP WILL MARK RIGHT AND FIRST ANWSSER BRANLIEST
Liono4ka [1.6K]
It should be option A! I hope this helps you!
5 0
3 years ago
Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum
Vlad1618 [11]

Answer:

The total volume of the water in the tank after 20 minutes = 1220 gallons

Step-by-step explanation:

Rate of water pumped into the tank  r (t) = 30 (1 - e^{-0.16 t} )

Initial volume of water in the tank = 800 gallons

The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

V_{total} = V_{i} + V_{pump}

V_{pump} = \int\limits^a_b {r(t)} \, dt

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

V_{pump} = \int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt

V_{pump} = 30 [ t + \frac{e^{-0.16t} }{0.16} ]

V_{pump} = 30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0}  )

V_{pump} = 420 gallon

Now, total volume in the tank

V_{total} = V_{i} + V_{pump}

V_{total} = 800 + 420

V_{total} = 1220 \ gallon

Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons

3 0
4 years ago
Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. How interest will he have earned a
agasfer [191]

We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

3.25\%=\frac{3.25}{100}=0.0325

A=6500(1+\frac{0.0325}{1})^{1\cdot 8}

A=6500(1+0.0325)^{8}

A=6500(1.0325)^{8}

A=6500(1.2915775352963673)

A=8395.253979

Now we will subtract principal amount from final amount to find amount of interest as:

\text{interest}=8395.253979-6500

\text{interest}=1895.253979\approx 1895.25

Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.

7 0
3 years ago
Other questions:
  • Don’t know !!! Please help!!!
    5·1 answer
  • Find the area of the regular polygon below and round your answer to the nearest hundredth.
    13·1 answer
  • I WILL IVE CROWN JUST NEED HEPL ASAP
    10·1 answer
  • The value of y varies directly with x, and y = 63 when x = 14. Find y when x = 28. I have been stuck on this for a while...
    8·1 answer
  • What is the classification for this polynomial? -2gh
    14·1 answer
  • Expand, simplify qu. 10 to 18..... :- / Lots of points easy read attachment
    8·1 answer
  • A series consists of some numbers such that the summation of the divisors of any number of that series is 1 less than twice of t
    12·1 answer
  • Please give the right answer and show work if possible
    5·1 answer
  • What type of lines makes the letter T?<br> A. perpendicular<br> B. parallel<br> C. neither
    7·2 answers
  • 3x<br> 1. Determine the domain of the function f(x) =<br> x-5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!