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
Flura [38]
3 years ago
13

A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle

. How long is the wire, and what is the distance from the base of the pole to the spot where the wire touches the ground?

Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

  • \sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.
  • \tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.

You might be interested in
Guys can u help me asap ?? i need explaination aloong the answer
Alisiya [41]

Answer:

5225 x 5/100 = 261.25

5225 - 261.25 = 4963.75

Step-by-step explanation:

We know that % means a 100 so if they say they allowed a 5% discount then that would be 5/100.

You will take the fraction and multiple it with the original price. It will then give you the discount price, you will then need to subtract the discounted amount from the original sale price which is 5225. Then you will get your final answer.

;-)

5 0
3 years ago
For the data below what is the outlier? 46, 39, 61, 38, 50, 65, 60, 45, 64, 55
Lubov Fominskaja [6]
The first 3 choices are not outliers, so the answer is D.
8 0
3 years ago
Read 2 more answers
The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take
marissa [1.9K]

If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.

By the same logic, the second gardener completes 1/7 of the job per hour.

So, if they work together, they complete

\dfrac{1}{6}+\dfrac{1}{7}=\dfrac{7+6}{42}=\dfrac{13}{42}

of the job per hour.

So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is

\dfrac{42}{13}\cdot 60 \approx 194

So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.

8 0
3 years ago
Please help ASAP picture below
Ostrovityanka [42]

Answer:

Picture is blurr. kindly upload clear pic

7 0
3 years ago
Read 2 more answers
Write an equivalent algebraic equation for the sentence below.
tatuchka [14]

Answer:

x-7=13

Step-by-step explanation:

x-7= 13

hope that helps

5 0
3 years ago
Other questions:
  • I need help on #'s 22 and 23
    12·1 answer
  • Three fewer than one fourth of x is 12
    9·1 answer
  • You paint one third of a wall and one for seven hours at that rate how long will it take you to paint one wall
    5·2 answers
  • I usually dont ask for help in math, but this has me stumped. pls help!
    6·1 answer
  • Parallelogram L M N O is shown. Angle M is (3 x minus 55) degrees, angle N is (5 y) degrees, and angle O is (2 x) degrees. In pa
    11·2 answers
  • A small business takes out a loan for $14,000 at 7% simple interest over the course of 4 years. What is the monthly payment?
    12·1 answer
  • What is the quotient of zero and one?<br>Translate: A number times itself ​
    9·1 answer
  • Determine the intercepts of the line
    8·1 answer
  • If y = 4x, what is y if the x = 5?
    14·1 answer
  • Put these number in order of size, smallest to largest:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!