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
My name is Ann [436]
1 year ago
13

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

ends of thewires are 14m apart on the ground with one wire forming an angle of 40°with the ground. Find the lengths of the wires. Put both answersseparated by a comma. (For example 15.11, 19.72) Round to the nearesthundredth.
Mathematics
1 answer:
Vladimir [108]1 year ago
4 0

Using the Sine rule,

\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

A^0+P^0+B^0=180^0\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}

Using the side rule to find the length of wire BP,

\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

You might be interested in
What is the slope of the line that passes through the points (−10,−8) and (-8, -16) Write your answer in simplest form.
jarptica [38.1K]

Step-by-step explanation:

given,

point = ( -10, -8 ) and ( -8, -16 )

we know,

slope = y2 - y1 / x2 - x1

x1 , y1 = (-10 , -8 )

x2 , y2 = ( -8, -16 )

after inserting the values we got,

→ -16 - (-8 ) / -8 - (-10)

→ -8/2 → -4

therefore, slope of line is -4.

hope this answer helps you dear...take care and may this answer helps you dear!.

7 0
3 years ago
A worker is being raised in a bucket lift at a constant speed of 3 ft/s. When the worker's arms are 10 ft off the ground, her co
sweet [91]
H=3t+10 and h=-16t+15t+6

They will never be at the same height at the same time
7 0
3 years ago
Read 2 more answers
HELP ALL MY POINTSwhich expression is equivilent to -6(-2/3+2x)
Andrews [41]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How to identify vertical angles
Jet001 [13]

Answer:

You identify them by examining them and if you examine them, eventually you will identify.

7 0
3 years ago
Read 2 more answers
Whats 70-3x6+9 I need the answer plz
kumpel [21]

70-3·6+9

Remember PEMDAS.

You must multiply the 3 and 6 together, and you would get 18.

Then, you subtract 18 from 70, which would give you 52.

And finally, you would add 9 to 52, getting 61 as your final answer.

7 0
3 years ago
Other questions:
  • Which of the following polynomials is a binomial
    13·2 answers
  • How many different arrangements of 3 letters can be formed if the first letter must be w or k​ (repeats of letters are​ allowed)
    6·1 answer
  • Find the least common multiple (LCM) of each pair of numbers:
    15·2 answers
  • What's the area of a circle with the diameter of 7m? (use 3.14 as pi)
    15·1 answer
  • Local environmentalists want to test if there is a difference in the pH of three different streams (called A, B, and C) feeding
    14·1 answer
  • PLEASE HELP ITS A TIMED TEST!!!
    8·1 answer
  • You are making a 2 ingredient trail mix with almonds and raisins. There is a 5:7 ratio of almonds to raisins. How many ounces of
    8·1 answer
  • A distribution is positively skewed if which of these statements is true about
    14·1 answer
  • Complementary and Supplementary angles
    15·1 answer
  • Which two integers are 7 units away from the number 5 on a number line? A-2 and 2 O B-2 and c. -- and D. -2 and​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!