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
OLga [1]
3 years ago
11

A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of th

e balloon to be 75.8° and 15.6°. What is the length of the island to the nearest tenth of a mile?
Mathematics
1 answer:
saul85 [17]3 years ago
3 0
The length of the island will be given as follows:
tan θ=opposite/adjacent
thus:
tan75.8= 3000/a1
a1=3000tan75.8
a1=11855.885 ft

also:
tan15.6=3000/a2
a2=3000tan15.6
a2=837.62 ft
Thus the length of the island will be:
11855.885-837.615
=11,018.24 ft
You might be interested in
. Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and pro
QveST [7]
Because this is a fifth degree polynomial, it's an odd function.  Odd functions have one tail go up and the other down.  Because the leading coefficient is a negative number, 3 to be exact, the left one goes up and the right goes down.
3 0
3 years ago
3. 'a' and 'b' are the intercepts made
Julli [10]

Given:

'a' and 'b' are the intercepts made  by a straight-line with the co- ordinate axes.

3a = b and the line  pass through the point (1, 3).

To find:

The equation of the line.

Solution:

The intercept form of a line is

\dfrac{x}{a}+\dfrac{y}{b}=1         ...(i)

where, a is x-intercept and b is y-intercept.

We have, 3a=b.

\dfrac{x}{a}+\dfrac{y}{3a}=1           ...(ii)

The line  pass through the point (1, 3). So, putting x=1 and y=3, we get

\dfrac{1}{a}+\dfrac{3}{3a}=1

\dfrac{1}{a}+\dfrac{1}{a}=1

\dfrac{2}{a}=1

Multiply both sides by a.

2=a

The value of a is 2. So, x-intercept is 2.

Putting a=2 in b=3a, we get

b=3(2)

b=6

The value of b is 6. So, y-intercept is 6.

Putting a=2 and b=6 in (i), we get

\dfrac{x}{2}+\dfrac{y}{6}=1

Therefore, the equation of the required line in intercept form is \dfrac{x}{2}+\dfrac{y}{6}=1.

5 0
3 years ago
You are driving to a conference in Cleveland and have already traveled 100 miles. You still have 50 more miles to go. When you a
Alborosie

Answer:

  150 miles

Step-by-step explanation:

If you go 50 more miles after you have gone 100, you have traveled a total of ...

  100 + 50 = 150 . . . miles

6 0
3 years ago
Read 2 more answers
Answer super fast for brainliest an 50 points
tensa zangetsu [6.8K]

Answer: 60% increase followed by a 40% decrease belongs in less than original. A 50% increase followed by a 33 1/3 decrease also belong in less than original. A $20 decrease followed by a $20 increase belongs in same as original. A 75% decrease followed by a 50% increase belongs in less than original. A 100% increase followed by a 33 1/3 decrease belongs in less than original.

Step-by-step explanation:

Hope this helps :)

6 0
3 years ago
Solve the equation `x^{4}+13x^{2}+36=0` for all values of `x`.
Zolol [24]

Answer: x4+13x2+36=0

Step-by-step explanation:

Let's solve your equation step-by-step.

x4+13x2+36=0

Step 1: Factor left side of equation.

(x2+4)(x2+9)=0

Step 2: Set factors equal to 0.

x2+4=0 or x2+9=0

7 0
3 years ago
Other questions:
  • What is the first step in solving 5x-3=12?
    6·2 answers
  • I need some help this math problem
    9·2 answers
  • Greatest to least 2/8,5/8,1/8
    6·1 answer
  • Allahuakbar eşedüennlee ilahe illallah ve eşşedüenle muhammeden abdühü ve resülüh
    10·1 answer
  • Can someone answer this<br> just tell the option
    7·1 answer
  • A×b &gt;a Write two expression that support your answer. Be sure to include one decimal example
    9·1 answer
  • 7m + 3mn<br> when m = 3 and n = -4
    10·2 answers
  • In what time will the interest on $960 amount to $61.20 at 8.5% per annum?​
    15·1 answer
  • Equation, find y when x=-3.<br><br> y = -x + 5<br><br> When x = -3, y =
    13·1 answer
  • I need help with this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!