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
vitfil [10]
2 years ago
11

A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After pl

acing the pole, Zachary measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

Mathematics
1 answer:
sammy [17]2 years ago
4 0

The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

<h3>Properties of a right angle triangle:</h3>
  • A right-angle triangle has one angle of 90 degrees.
  • The sides can be found using the Pythagoras theorem.
  • The angles can be found using trigonometric ratios.

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

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; brainly.com/question/25762788?referrer=searchResults

You might be interested in
I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)
inysia [295]
The answer is 69.6 degrees because all of the angles of a triangle always add up to 180 degrees so adding 42 and 68.4 gets 110.4, and then subtracting that from 180 gets 69.9.
3 0
2 years ago
Or<br> Simplify. Express your answer as a single term using exponents.<br> 303*9x303*9
dmitriy555 [2]

{303}^{9}   \times  {303}^{9}  \\  =  {303}^{9 + 9}  \\  =  {303}^{18}

<u>Answer</u><u>:</u>

<u>{303}^{18}</u>

<u>Hope </u><u>you</u><u> could</u><u> get</u><u> an</u><u> idea</u><u> from</u><u> here</u><u>.</u>

<u>Doubt</u><u> clarification</u><u> </u><u>-</u><u> </u><u>use </u><u>comment</u><u> section</u><u>.</u>

6 0
2 years ago
12x⁴y²divided by 3x³y to the 5 th power....Please help me out....
ki77a [65]
To divide the expression we proceed as follows:
12x⁴y²÷3x³y⁵
=12x⁴y²/3x³y⁵
=(12÷3)×(x⁴÷x³)×(y²÷y⁵)
when you divide number with the same base, you subtract the numerators:
=4×(x⁴⁻³)×(y²⁻⁵)
simplifying this we get
=4xy⁻³
Answer: 4xy⁻³

5 0
3 years ago
If the volume of a cone is 12.56, and the height is 3. What is the radius of the cone? R=
Alina [70]

Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat                      

I hope to help you

5 0
2 years ago
I need help on number 10 please!
hammer [34]

Answer: y = 4x/3 - 5/2

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m = slope = (y2 - y1)/(x2 - x1)

The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is

m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of line L2 passing through the midpoint, M is 4/3

The formula determining the midpoint of a line is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]

= (0, - 5/2]

This means that the y intercept of line L2 is - 5/2

The equation of L2 becomes

y = 4x/3 - 5/2

4 0
3 years ago
Other questions:
  • Write the equation of the circle graphed below
    12·2 answers
  • A bag contains 5 red marbles, two orange marbles, one yellow marbles, and two green marbles. Two marbles are drawn from the bag.
    9·2 answers
  • Help me with this question
    13·1 answer
  • Use the cubic model y = 6x3 - 5x2 + 4x – 3 to estimate the value of y when x = 2.
    11·2 answers
  • Solve the equation.. I dont understand how to do it
    12·1 answer
  • Help?! No clue about functions...
    8·2 answers
  • In the equivalent ratios 4:7 and 48:x, what is the value of x?
    14·1 answer
  • Any help with an explanation would be appreciated!
    8·1 answer
  • Please please Help me!!!!!
    5·1 answer
  • Pleasd help me im so
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!