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
lana66690 [7]
1 year ago
6

A 40 foot long wire stretches from the top of a vertical pole to a stake in the ground 18 feet from the foot of the pole. find,

to the nearest degree, the measure of the acute angle that the wire makes with the ground.
Mathematics
1 answer:
Agata [3.3K]1 year ago
6 0

The measure of the acute angle that the wire makes with the ground is 63.27°.

The situation forms a right angle triangle.

<h3>How to find the angle of a right triangle?</h3>

The length of the wire is the hypotenuse of the right triangle.

The distance from the foot of the pole is the adjacent side of the right triangle.

Therefore,

cos ∅ = adjacent / hypotenuse

cos ∅ = 18 / 40

cos ∅ = 0.45

∅ = cos⁻¹ 0.45

∅ = 63.2563160496

∅ = 63.27°

learn more on right angle triangle here: brainly.com/question/14866099

#SPJ1

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Calpha%20%20%2B%20%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%29%20%20%3D%20%20-%20%20%5C
alexandr1967 [171]

\cos (\alpha +\frac{\pi}{2})= \cos(\frac{\pi}{2})\cos (\alpha)- \sin(\frac{\pi}{2})\sin(\alpha)\\=0-\sin(\alpha)\\=-\sin (\alpha)

5 0
3 years ago
On a quiz show, Linda won $10 less than three times as much as Charlie. If Linda won $800, how much did Charlie win?
PilotLPTM [1.2K]

Using a system of equations, it is found that Charlie won $270.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount earned by Linda.
  • Variable y: Amount earned by Charlie.

Linda won $10 less than three times as much as Charlie, hence:

x = 3y - 10

Linda won $800, hence the amount won by Charlie is found as follows:

800 = 3y - 10

3y = 810

y = 810/3

y = 270

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
A person is strolling along a moving walkway at a constant velocity of +1.00 m/s with respect to the walkway, which moves at a c
Bezzdna [24]
Refer to the diagram shown below.

The velocity of the person on the walkway relative to the ground is the velocity of the walkway (relative to the ground) plus the velocity of the person relative to the walkway.
It is
1.0 + 0.5 = 1.5 m/s

The person on the ground moves at - 0.2 m/s, which is in the opposite direction to that of the walkway and the person on the walkway.
Therefore the velocity of the person on the walkway relative to the person on the ground is
105 - (-0.2) = 1.7 m/s

Answer: 1.7 m/s

7 0
3 years ago
Which of the following is not a typical characteristic of a linear programming problem?
adell [148]
The answer is c. The problem can be solved graphically
6 0
3 years ago
The student body of a large university consists of 65% female students. a random sample of 8 students is selected. what is the p
LenaWriter [7]
B. 0.0896
hope this helps x
6 0
3 years ago
Other questions:
  • Whats 16*2-3(2^6+12)*5
    14·2 answers
  • 3tan x * cos x * cot x =
    15·1 answer
  • The bird population in Louisiana is decreasing at a rate of 15% per day due to the oil spill. If there are 12,000 birds today, h
    14·1 answer
  • Someone please help on this
    12·1 answer
  • During what month will the child reach 113 cm
    7·1 answer
  • What is the slope of the line described by the equation below? y=5x-22
    14·2 answers
  • Rounding! Quick question, will mark brainiliest if possible.
    12·2 answers
  • Can anybody help with this question?
    15·1 answer
  • What is the true meaning of absolute value?
    6·2 answers
  • Half of a number when added to 42 becomes 50. What is the original number?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!