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
Natali5045456 [20]
3 years ago
11

To find the width of a river,a boy places a wooden peg at a point A on one side directly opposite of an object B on the opposite

bank.From A,he walks 50m
along the bank to a point C. He observes that angle ACB =34 degree.Calculate the width of the river.

Guys please help me ​
Mathematics
2 answers:
Airida [17]3 years ago
6 0

27.96m

This resembles a triangle(a right angled triangle in fact!)

If ACB is 34 and AC is 50, we must use trigonometry.

Here we should be using cosine

SOH

CAH

TOA

Cosine = Adjacent/Hypotenuse

Adjacent = BC = x

Hypotenuse = AC = 50

cos(x/50) = 34

Using a calculator,

x = 41.45

Now we should be finding the width of the river ( Line AB)

50² - 41.45² = 781.8975

√781.8975 ≈ 27.96

Thus, width of river is 27.96 cm

NikAS [45]3 years ago
5 0

Answer:

33.7 m

Step-by-step explanation:

tan ACB = AB/AC

tan 34 = AB/50

AB = 50tan(34)

AB = 33.7254258421

You might be interested in
Find the equation of a line that is perpendicular to 4y-3x=1 and passes through point (-7,0).
Mnenie [13.5K]

Answer:

-4/3x + -28/3

Step-by-step explanation:

First you rearrange 4y-3x=1

y= 3/4x +1/4

then you reciprocate and change the sign the slope since you are trying to find a line perpendicular to it.

Slope(m) =-4/3

then you use the formula <em>y-y1= m(x-x1)</em>

y-0= -4/3 (x--7)

y= -4/3 +-28/3

7 0
3 years ago
4 -2x plus 5 when x =4
Bess [88]

Answer:

1

Step-by-step explanation:

f(4)=4-2x+5

4-2(4)+5

4-8+5

1

6 0
2 years ago
Read 2 more answers
Somebody please help asapppppp
anzhelika [568]
The function was moved two units to the left (a)
8 0
3 years ago
Carl Brownstein is a golf course groundkeeper whose annual gross pay is $45,500. He has exemptions of $3,000. The tax state on t
zhenek [66]

Answer:

Step-by-step explanation:

7 0
3 years ago
Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 7 cubic feet
olchik [2.2K]
V = (pi)r² h
v = (pi)5² h
v = 25(pi) h
take derivative with respect to h
dv/dh = 25(pi)

(dv/dt)*(dt/dh) = dv/dh

dv/dt is given to be 5 cm³
solved for dv/dh = 25(pi)

5(dt/dh) = 25(pi)
dt/dh = 25(pi)/5
dt/dh = 5(pi)

then the recipricol of dt/dh; we want to find dh/dt = 1/(5(pi))
5 0
3 years ago
Other questions:
  • 6. Sketch the region enclosed by the graphs of x =0, 6y-5x=0 and x+3y=21. Find the area
    11·2 answers
  • At Ree Ski Center, the most people will pay for a neck warmer is $10. The manager of Ree Ski Center knows he needs a 30% markup
    8·1 answer
  • What is the answer for <br>9(5x)
    15·1 answer
  • 3/5 of the 30 students are boys how many students are girls
    11·2 answers
  • Under which angle conditions could a triangle exsist
    12·2 answers
  • In a Washington town, the charge for commerical waste collection is $694.55 for 5 tons of waste and $1098.56 for 8 tons of waste
    13·1 answer
  • Please help me with my math ;-;
    9·1 answer
  • Write each percent as a fraction in simplest form.<br> 12%
    13·1 answer
  • HELP! Decide whether each table could represent a proportional relationship. if the relationship could be proportional, what wou
    12·2 answers
  • The original price of a pair of sneakers is represented by (p). The sneakers are on sale for 32% off. If a 7% sales tax is appli
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!