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
ELEN [110]
3 years ago
10

Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o

f the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°. Find the distance AB (across the river). Round to the nearest meter.
Mathematics
1 answer:
nlexa [21]3 years ago
5 0

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three  locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353

So distance AB is 74 metres.

You might be interested in
Peter baked 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend
andre [41]

Answer:

12

thStep-by-step explanation:

4 0
3 years ago
Read 2 more answers
Raul has been offered three different jobs and must choose which one to accept. One of the factors he is considering is the pay
chubhunter [2.5K]

Answer:

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

Step-by-step explanation:

Given that Raul would work 50 weeks of the year,

40 hours each week,

5 days each week,

and he would receive a 1-hour lunch break each day.

Pay rate for Job A = $35,000 / year

  • For Job B:

Pay rate = $15 / hour

He will work 40 hours each week.

As he works 5 days a week, so in 1 day he will work 40/5 = 8 hours.

He would receive a 1-hour break each day, for which he will not be paid, so he will receive a payment for 8-1=7 hours.

So, payment for 1 day = $15 x 7 = $105

As he works 5 days a week, so payment for 1 week = $105 x 5 = $525

As he works 50 weeks a year, so payment for 1 year = $525 x 50 = $26250.

So, the pay rate by Job B = $26250 /year

  • For Job C:

Pay rate = $750 / week

As he works 50 weeks a year, so payment for 1 year = $750 x 50 = $37500.

So, the pay rate by Job C = $37500 /year

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

8 0
3 years ago
At Silver Gym, membership is $20 per month, and personal training sessions are $35 each. At Fit Factor, membership is $40 per mo
Molodets [167]

Answer:

125

Step-by-step explanation:

5 0
3 years ago
23 + 4.5 = 4.5 + 23 es un ejemplo de la propiedad​
dybincka [34]

Step-by-step explanation:

ES UN EJEMPLO DE PROPIEDAD COMMULATIVE.

hola Hermano, cóme TE IIamas

donde vives?

6 0
3 years ago
Multiplicative inverse of 3/7 x 2/7
Ahat [919]

<h3>\frac{ - 7}{3}  \times  \frac{ - 7}{2}</h3>
  • It is the multiplicative inverse of 3/7 × 2/7
6 0
3 years ago
Read 2 more answers
Other questions:
  • Identify the function from this data chart
    6·2 answers
  • at a school number of boys : number of girls =9:7. There are 116 more boys than girls. Work out the total number of students at
    5·2 answers
  • Find (7 × 10^5) + (2 × 10^3).
    5·1 answer
  • What is the distance between -25 and -12 on a number line
    12·2 answers
  • There are (35)2 ⋅ 30 leaves on a tree. What is the total number of leaves on the tree?
    14·2 answers
  • Find the area of the trapezoid
    6·1 answer
  • An artical fills 1/2 of a magazine page. A corresponding photo takes up 3/8 of the article. How much of the page is taken up by
    12·1 answer
  • write the equation of the line that passes through the points (-1,2) and (6,3) in slope-intercept form.
    12·1 answer
  • Alonzo has completed 44 Deliveries so far this week he needs to make 55 deliveries for the week what percentage of his deliver
    5·1 answer
  • If a system of linear equations has no solution, what does this mean about the two lines?​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!