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
Readme [11.4K]
3 years ago
15

A rope is tied to the bottom of a hot air balloon as shown. The altitude of the balloon is 50 feet and the rope is 75 feet long.

What is the angle that the rope makes with the ground? Round the angle to the nearest angle.

Mathematics
2 answers:
Semenov [28]3 years ago
8 0

Answer:

As per the statement

The altitude of the balloon is 50 feet and the rope is 75 feet long.

⇒ Altitude of the balloon = 50 feet.

And length of the rope = 75 feet.

We have to find the angle that rope makes with ground,

Using Sine ratio:

\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}

You can see the diagram as shown below.

Here,

Opposite side =  Altitude of the balloon = 50 feet.

Hypotenuse side =  length of the rope = 75 feet.

Substitute the given values we have;

\sin \theta = \frac{50}{75} =\frac{2}{3}

⇒\theta = \sin^{-1} (\frac{2}{3}) = 41.8°

Therefore, the angle that the rope makes with the ground is, 41.8 degree

kramer3 years ago
3 0

Answer:

The angle that the rope makes with the ground is 41.8°.

Step-by-step explanation:

Given : The altitude of the balloon is 50 feet and the rope is 75 feet long.

To find : What is the angle that the rope makes with the ground?

Solution :

First we refer the image attached below.

Altitude of the balloon is the opposite side AB= 50 feet

Length of the rope is the hypotenuse side AC= 75 feet

Using the trigonometric ratios,

\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}

Substitute the values,

\sin \theta = \frac{50}{75}

\sin \theta =\frac{2}{3}

\theta = \sin^{-1} (\frac{2}{3})

\theta =41.8^\circ

Therefore, the angle that the rope makes with the ground is 41.8°.

You might be interested in
Which of the following is the last step in problem solving? A. Understand the problem. B. Check your answers and present the sol
almond37 [142]
B - check your answers and present the solution
7 0
3 years ago
The nth term of a sequence is 3n squared - 1
Pavlova-9 [17]
A -2
B -5
I think I might be wrong
3 0
2 years ago
2) WEDNESDAY: Which of the following is NOT a method for solving a quadratic equation?
ozzi

Answer:

line of best fit

Step-by-step explanation:

line of best fit is NOT a method for solving a quadratic equation.

Rest of all the methods are used for solving a quadratic equation.

3 0
3 years ago
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
Mamont248 [21]

Answer:

y=-5x+12


Step-by-step explanation:

just use a graphing calculator and basic knowledge of slope intercept form

7 0
2 years ago
20 POINTS!!!
ZanzabumX [31]

It’s 00.9

Step-by-step explanation: I just took the test I know

3 0
2 years ago
Read 2 more answers
Other questions:
  • List the first twenty counting numbers in base nine
    15·1 answer
  • Question 1 (1 point)
    13·1 answer
  • 3.6 , 11−−√, 15−−√, 3.4, 18−−√ To plot the numbers on a number line, which list is ordered from greatest to least? 11−−√, 3.4, 3
    6·1 answer
  • What is the result of subtracting the second equation from the first? \begin{aligned} -7x-y &= 0 \\\\ 7x+8y &= -6 \end{a
    14·1 answer
  • Write 10 × 10 × 10 with an exponent. Explain how you decided which exponent to write.
    6·1 answer
  • A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412 cm. The prism is filled with cubes that have edge
    15·2 answers
  • Kale works in a packaging factory that has 900 employees. By the end of each day, they manage to 3.2*10
    6·1 answer
  • 3/4•3/4???? I can’t do it in my head and I don’t know how to make a decimal into a fraction
    13·2 answers
  • Can someone please help me with this question? I have been stuck on it for a while now​
    13·1 answer
  • Help asap!!!<br> i cant understand :,(<br> need answer !!!!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!