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
Ann [662]
3 years ago
14

Two stabilizing wires extend from the top of a pole to the ground, forming right triangles on

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer: the height of the pole is 16.1 m.

Step-by-step explanation:

The scenario is illustrated in the attached photo.

x represents the height of the pole.

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side.

Considering triangle ACD,

Tan 60 = x/y

x = ytan60 = y × 1.732

x = 1.732y- - - - - - - - -1

Considering triangle BCD,

Tan 38 = x/(30 - y)

x = (30 - y)tan38 = 0.781(30 - y)

x = 23.43 - 0.781y- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

1.732y = 23.43 - 0.781y

1.732y + 0.781y = 23.43

2.513y = 23.43

y = 23.43/2.513

y = 9.3

x = 1.732y = 1.732 × 9.3

x = 16.1 m

You might be interested in
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. Which is the bet
natima [27]
If we take 4/5=80 cent each and when we take 9/25=36 cents a piece so the store is a better deal
3 0
3 years ago
I need help with this math problem please!
spin [16.1K]
D, because (5+y) and 8 are factors, and within (5+y), 5 and y are terms.
7 0
2 years ago
The perimeter of a rectangle is 34 units. It’s width is 6.5 units
Papessa [141]

Answer:

The length for on side is 10.5.

Step-by-step explanation:

6.5 + 6.5 = 13

34 - 13 = 21

21 divided by 2 is 10.5

Length 10.5 + 10.5 + 6.5 + 6.5 = 34

4 0
3 years ago
Read 2 more answers
9) 337<br>The 3 in the hundreds place is _<br>the value of the 3 in the tens place.​
Aliun [14]

Answer:

ten times the value of the 3 in the tens place.

Step-by-step explanation:

I believe that is what your teacher is looking for. 30 times 10 equals 300.

hope this helps !

<3

if this did please consider marking brainliest i would appreciate it

6 0
2 years ago
Find the value of x in the figure below. Show all your work.
BigorU [14]

Answer:

x = 52/9

Step-by-step explanation:

The exterior angle is half the difference of the intercepted arcs, so we have ...

9x -5 = (158 -64)/2

9x = 52 . . . . . . . . . . . add 5

x = 52/9 = 5 7/9

8 0
3 years ago
Other questions:
  • 20 POINTS!!! NEED ALL 4 ANSWERED!!!
    10·1 answer
  • Solve for n: -4 (3n+3) = 5 (-2-6n) -2
    13·2 answers
  • Explain how you used the bar model in exercise 2 to find the problem
    9·1 answer
  • A 6-sided number cube is rolled. What is the probability that it will land on a number greater than 2?
    13·1 answer
  • Find the product:400 x 100,000
    7·1 answer
  • Simplify your answer and write as in improper fraction or whole number. <br> 9 divide 7/4
    6·1 answer
  • Jenya answered 24 out of 30 questions correctly on her math test and 21 out of 25 questions
    12·1 answer
  • Which pipe length could be joined to form a triangle?
    15·1 answer
  • Help me please I will UPVOT
    9·2 answers
  • Vera’s lunch cost $9.00. She left a tip worth 15 percent of the cost of her lunch. What is the total amount, including the tip,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!