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
judy borrow 600 from her friend and promises to pay it back in 3 years with the 4% interest rate. calculate the simple interest
s2008m [1.1K]

Answer:

.

Step-by-step explanation:

4 0
3 years ago
Calculate the perimeter of this shape.
aleksandrvk [35]

Step-by-step explanation:

Hello there!

Again, just double the given sides.

20+38=58 cm

:)

8 0
3 years ago
Which best describes the angles of some parallelograms?
Vinil7 [7]
The answer is C. 4 obtuse angles could not make a 4 sided figure such as a parrallelogram. 4 acute angles is not possible for creating parallelograms either.
7 0
3 years ago
Hi people here hi hi oya
oksian1 [2.3K]

Answer:

Hi How are you doing today???

5 0
3 years ago
Read 2 more answers
Please helpppppp meeeeeee
m_a_m_a [10]
The pictures won’t load for some reason
7 0
3 years ago
Other questions:
  • Benny gets a job at a law firm with a salary of $70,000 per year. After the first year, his salary increases to $73,000. Over th
    7·1 answer
  • The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the
    8·1 answer
  • Does anybody know this if so can you help me explain and do it for brainlist ..
    12·2 answers
  • A research company found that 11% of the people that they called agreed to participate in a survey.
    15·1 answer
  • A light flashes every two minutes a second light flashes every 3.5 minutes and a third light flashes every four minutes if all t
    6·2 answers
  • Which set of ordered pairs does NOT show y as a function of x?
    8·2 answers
  • Find the equation of the line in slope-intercept form.
    14·2 answers
  • Tucker made a scale drawing of a boarding school. The scale he used was 7 millimeters = 1 meter. What is the scale factor of the
    13·1 answer
  • Which expression is equivalent to 6x+7-12*2-(3 to the power 2 +3)-x
    10·2 answers
  • Determine the number of solutions for the equation 4x+6=4x+6
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!