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
AnnZ [28]
3 years ago
8

A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t

o make an angle of 31 with the ground? Give your answer to the nearest tenth of a foot.
Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

You might be interested in
a minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball game?
Likurg_2 [28]
6 minivans are needed to take (i think I'm real bad at math)
5 0
3 years ago
Read 2 more answers
The quotient of a number and three, increased by one <br><br><br> Using the variable N
solniwko [45]
N÷3+1 or can be stated as 3÷n+1

5 0
3 years ago
Alexis has $22 75 to spend at the movies she buys a ticket for $8.500 a popcorn for $725 and a candy bar for $5 how much money d
vaieri [72.5K]

Answer:

  • $2.00

Step-by-step explanation:

<u>Alexis spends:</u>

  • $8.50 + $7.25 + $5 = $20.75

<u>Money left:</u>

  • $22.75 - $20.75 = $2.00
6 0
3 years ago
Read 2 more answers
I need to know what's 1131÷29 pronto
Ivahew [28]

the answer is 39 because you need to divide.

6 0
3 years ago
Read 2 more answers
the population of a town grows at the rate of 3 percent each year in 2010, the town had a population of 250000. what is the popu
Ulleksa [173]

Answer:

335,979 people (in Year 2020)

Step-by-step explanation:

Initial Population (Year 2010) = 250,000

Rate of Growth = 3% = 3/100 = 0.03

We want the population of the town in Year 2020 (at this rate). That is 10 years from now.

The formula for compound growth is:

F=P(1+r)^t

Where

F is the future value (in year 2020)

P is the present value (250,000)

r is the rate of increase per year (0.03)

t is the time in years (t = 10)

Lets substitute and find the value:

F=P(1+r)^t\\F=250,000(1+0.03)^{10}\\F=250,000(1.03)^{10}\\F=335979.09

Rounded, that would be:

335,979 people (in Year 2020)

4 0
3 years ago
Other questions:
  • Help I don’t understand number 18 I wrote the equation but I need help solving it the equation is 13 n - 1.50= 35.50
    10·1 answer
  • Brenda has a square-shaped photo frame. If the area of the square frame is 123 square inches, which statement is true?
    5·1 answer
  • I need help with these three problems
    15·1 answer
  • What is the domain and range of the relation shown in the table?
    13·1 answer
  • Megan budgeted $300 for her shopping trip. She spent $61.50 on jewelry at Revin Jewelry. What percent of her budget did she spen
    12·1 answer
  • What expression is 3(x-6)2 - 2(x-1) equivalent to ?
    12·1 answer
  • CoolTown is having a big chili cook-off and Jeff, Maggi and Heath are all going to enter. Their secret recipes all use chili pow
    10·1 answer
  • Factor the expression step by step Someone help me pls
    14·1 answer
  • Please help me the tables i circles are the linear ones. Please help with them all.
    14·2 answers
  • Please help 3x + 2y = 13<br> 6x + 4y = 26<br> Many solution, one solution, or no solution
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!