The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their master Trigonomos agreed to measure the width of the river without actually crossing it. Trigonomos spotted a tree across the river and marked the spot directly across from it. Then he walked to another point 151515 meters down the river and found that the angle between his side of the river and the line connecting him to the tree was 76^\circ76 ∘ 76, degrees. What is the width of the river?

Answers

Answer 1

Answer:

60.16 m

Step-by-step explanation:

Let w = width of river

Using trigonometry :

The width, w of the river is can be calculated thus :

Tan θ = opposite / Adjacent

Tan 76 = w / 15

4.0107809 = w / 15

w = 15 * 4.0107809

w = 60.1617 m

Hence, width of the river is 60.16 m

The People Of Bridgetown Wanted To Build A Bridge Across A Nearby River. Since They Were Poor Swimmers,

Related Questions

The volume of the cylinder is 225π cm3. What is the height of the cylinder?
A. 6.25 cm
B. 25 cm
C. 37.5 cm
D. 75 cm

Answers

Answer:

25

Step-by-step explanation:

it is i promiseee

30 + a = 40, a = ?

(please answer)

Answers

Your answer is gunna be 10

Answer:

The answer is 10

Step-by-step explanation:

Move all terms not containing  a  to the right side of the equation.

~Hoped this helped~

~Brainiliest?~

Can someone help me with this question?

Answers

Answer:1/3

Step-by-step explanation:

gradient equals

[tex]\frac{Y2-Y1}{X2-X1}[/tex]

=[tex]\frac{5-3}{10-4}[/tex]

=[tex]\frac{2}{6}[/tex]

=[tex]\frac{1}{3}[/tex]

What is 91% of 180
Show all work and round answer to the nearest tenth.

Answers

this is a picture from a question in a math class last year :>

Given that x and y vary inversely and that y is 8 when x is 2, what is the constant of variation, k?

Answers

Answer:

16

Step-by-step explanation:

the equation is x = k / y

therefore k = x* y

k = 2*8

k= 16

PLEASE HELP ME!! ill give brainliest.

Answers

Answer:

d-7=3

Step-by-step explanation:

Answer:

3dx7

Step-by-step explanation:

I hope this helps!:) Can I get brianlest plz?

Keep up the good work!

Find the value of c such that the expression is a perfect square trinomial.
x^2+12x+c

Answers

Answer:

c = 36

Step-by-step explanation:

If the coefficient of [tex]x^{2}[/tex] is one, then c = [tex](\frac{12}{2}) ^{2} = 6^{2} = 36[/tex]

HELPPPP!!!! ASAPPPP!!!

Which number could be used as a counterexample to show that the conjecture “All even numbers are divisible by 4” is false?
12
10
8
24

Answers

Answer:

10

Step-by-step explanation:

10/4 = 2.5(fraction)

12/4 = 3

8/4 = 2

24/4 = 6

The numbers 2, 6, 10, and so on are not divisible by the 4 but they are even numbers. Then the correct option is B.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The statement is given below.

“All even numbers are divisible by 4”

The statement “All even numbers are divisible by 4” is false.

Because the numbers 2, 6, 10, and so on are not divisible by the 4 but they are even numbers.

Not all even numbers are divisible by 4, but some numbers are divisible by 4.

Then the correct option is B.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

If there is one obtuse angle, how many angles are
acute?
a 2
b 3
C 1
d 6

Answers

Answer: a .2

Step-by-step explanation: A triangle is 180 degrees.  If one angle is obtuse, it is more than 90 degrees.  That leaves the two remaining angles having to add up to less than 90 degrees combined.  So both have to be acute.

Please please please help me I need a 80 to pass

Answers

Answer:

fb=7 units

Step-by-step explanation:

Answer:

If they’re both equal to each other in length and both pentagons, then I think the answer is 7 units.

Out of 200 students, 10 had a cleft chin.
What percent of students had a cleft chin?

Answers

Answer:

chin

Step-by-step explanation:

stan kim namjoon for good grades and clear skin

Answer:

5 percent

Step-by-step explanation:

200 of 10 was 5 percent

what's the selling price if $42.50 was the original price and the markup is 6% with a discount of 5%​

Answers

Answer:

51

Step-by-step explanation:

I did this by multiplying 42.50 by 0.06 and divide that answer with 0.05.

For a party Gary buys cheese pizzas for $5 and pepperoni pizzas for $8 each. His bill comes to $75. Let x represent the number of cheese pizzas and y represent the number of pepperoni pizzas. Write an equation to represent the situation.

Answers

Answer:

The answer is the second answer from the image. Which is 5x-8y=$75

Step-by-step explanation:

It is that answer because it costs $5 for one cheese pizza and $8 for a pepperoni pizza, so the answer is 5x-8y=75

still confused?

Its that answer because the first one and the third one are the same, just both equations like in different ways like example 10+2 is 12 right? And 2 + 10 is still 12 so that means the second answer from the image is the answer.

Hope that helps.

Answer:

the answer for this question is the first choice.

Step-by-step explanation:

first, let's figure what number represents what. we know that cheese pizzas gary bought costed him $5 and pepperoni pizzas costed him $8. since x represents cheese pizzas and y represents pepperoni pizzas, 5x and 8y should be correct. this is also said in the problem which gives the correct addends. for the operation, it tells us the bill COMES to $75. since the pizzas are COMING to $75 in total, we know that this is addition.

Please help me i need help ​

Answers

Answer:

sin is .6, Cos is .8 and tan is .75

Step-by-step explanation:

Ez

Use the data to select the correct line plot. Then answer the question.

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!! Why is it possible that globalization will have a negative effect on Africa's economy?

Answers

Answer:

This is your answer ☺️☺️☺️

ill mark brainlist plss help

Answers

Answer:

multiply 0.15 times 26.40 which is $3.96 which is C $4 since they say ESTIMATE A 15% TIP

Step-by-step explanation:

PLZZZZZZ HELPP MEE
TY

Answers

Answer:

i'm not sure if this all correct

Step-by-step explanation:

part A you start at 8 from the first participant then you take away one from the last one. you add up all the numbers up to get the answer. 8+7+6+5+4+3+2+1=36.

part B the first part is 1x1x1x1x1x1x1x1=1. the second part is 8x7x6x5x4x3x2x1= 40,320. the third part is 1/40320

What is the measurement of arc BE?

Answers

The answer is 134 degrees

Someone please help me with this ASAP I have only 4 minutes!

Answers

Answer:

A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

yw

I need help please!
Ap calculus

Answers

9514 1404 393

Answer:

  (c)  1.649

Step-by-step explanation:

For a lot of these summation problems it is worthwhile to learn to use a calculator or spreadsheet to do the arithmetic. Here, the ends of the intervals are 1 unit apart, so we only need to evaluate the function for integer values of x.

Almost any of these numerical integration methods involve some sort of weighted sum. For trapezoidal integration, the weights of all of the middle function values are 1. The weights of the first and last function values are 1/2. The weighted sum is multiplied by the interval width, which is 1 for this problem.

The area by trapezoidal integration is about 1.649 square units.

__

In the attached, we have shown the calculation both by computing the area of each trapezoid (f1 does that), and by creating the weighted sum of function values.

(3x+1)(3x^2-6x-8) in standard form

Answers

Answer:

 

3s3x2+6x+4.3x2+6x+4

which describes the function on the graph-below?

Answers

Answer:

The first one

Step-by-step explanation:

Find the simplified product: 2/5x^3(-3/10^2)

Answers

Answer:

-3^3/3250

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

correct on edge

A water tank fills as shown in the graph below.

What is the slope of the line?

A. 1/3
B. 2/3
C. 3/2
D. 3

Answers

I think the answer is 1/3 but i suck at slopes lol. Might wanna double check
I think it is A because it looks like the line is going to 1/3

1. Leslie visits a local department store in order to purchase summer clothes. The

price of the dress is $40. The dress is marked up 25%. What is the selling price of

the dress?

Answers

Answer:

$50

Step-by-step explanation:

Given data

We are given that the price is $40

the markup percent is 25%

Hence the price will be

40+25% of 40

=40+ 25/100*40

=40+ 0.25*40

=40+10

=$50

Therefore, the price of the dress is $50

A copy machine produces 66 pages of print in 66 seconds.

​ How many pages are produced per second?

Answers

Answer:

1

Step-by-step explanation:

66 pages in 66 seconds.  66/66 = 1

Answer:

1 page per second...

Step-by-step explanation:

did you really just ask us that question...?? if you print 66 oages in 66 seconds, one page is made per second.. you must be joking

Which sentence expresses the equation 9x=45 in words?
Group of answer choices
A.The product of a number and 9 is 45.
B.The sum of a number and 9 is 45.
C. A number decreased by 9 is 45.
D.A number 45 is 9 more than another number.
Ps its not B

Answers

Answer:

The product of a number and 9 is 45

Step-by-step explanation:

which equation is true ?

(1.) 4/-9 = -4/9

(2.) 4/-9 = 2/-3

(3.) 4/-9 = 4/9

(4.) 4/-9 = 2/3

Answers

3.4/-9=4/9 this is the true equation

At The Family Farm it costs $4 to enter the barn and an
additional $2 for each animal you want to feed. Which
expression represents the cost of feeding y animals?

Answers

Answer:

4 + 2y = x

________________________________

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