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
777dan777 [17]
3 years ago
15

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 15 meters down the river and the line connecting him to the tree was 76 degrees what is the width of the river?
Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

60.2 m

Step-by-step explanation:

Let x represent the width of the river.  The distance from the point across from the tree to the second point is 15 m.  The angle from this point to the tree across the river is 76°.

This makes the side opposite the angle x, the width of the river.  It also means the 15 m side is adjacent to this angle.

The ratio opposite/adjacent is the ratio for tangent; this gives us the equation

x/15 = tan(76)

Multiply both sides by 15:

15(x/15) = 15(tan(76))

x = 15(tan(76)) ≈ 60.2

You might be interested in
1. What is the ratio of black to white squares? (1 mark)<br> I
kati45 [8]

im sure it would be 2:4. if it was to be simplified it would be 1:2

6 0
2 years ago
Read 2 more answers
Whats 567 divided by 566789
Doss [256]

0.00100037227 will be your correct answer.

7 0
3 years ago
Subtract the polynomials.<br><br> (5x^2 −3x − 2) − (−2x^2 − x + 10)
zhuklara [117]
Let's simplify step-by-step.<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>−<span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>+<span><span>−1</span><span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span><span>−1</span><span>(<span>−<span>2<span>x2</span></span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(10)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span>2<span>x2</span></span></span>+x</span>+</span>−10</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span>5<span>x2</span></span>+<span>−<span>3x</span></span></span>+<span>−2</span></span>+<span>2<span>x2</span></span></span>+x</span>+<span>−10</span></span></span><span>=<span><span><span>(<span><span>5<span>x2</span></span>+<span>2<span>x2</span></span></span>)</span>+<span>(<span><span>−<span>3x</span></span>+x</span>)</span></span>+<span>(<span><span>−2</span>+<span>−10</span></span>)</span></span></span><span>=<span><span><span>7<span>x2</span></span>+<span>−<span>2x</span></span></span>+<span>−12</span></span></span>Answer:<span>=<span><span><span>7<span>x2</span></span>−<span>2x</span></span>−<span>12</span></span></span>
4 0
3 years ago
Read 2 more answers
what is the circumference of a circle that has a radius of 8 units use 3.14 (pie) and round to the nearest hundredth
SashulF [63]

Remember that the formula for the circumference, C, of a circle is:

C = d \pi


In this case, we are not given the diameter. However, remember that the diameter is equivalent to two times the radius of a circle. Thus,

d = 2 \cdot 8 = 16,

and we can say the circumference of our circle is:

C = 16 \cdot 3.14 = 50.24 \,\textrm{units}


The circumference of our circle is 50.24 units.


<em>Also, a little side note not relating to the question:</em>

<em>Remember that \pi is spelled as "pi" not "pie." Pie is a dessert, while pi is a mathematical constant.</em>

5 0
3 years ago
(Label each one)
shutvik [7]

1,3) no solution

2,4,5,6,7) solution

5 0
3 years ago
Other questions:
  • I don't understand this Problem PLEASE HELPP
    6·2 answers
  • Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm d
    11·1 answer
  • Which of the following is an x-intercept of the function, f(x) = x^2 - 64 ?
    5·1 answer
  • A theater can seat 952 people the number of rows is 6 less than the number of seats in each row how many rows of seats are there
    10·1 answer
  • How many times dose 32fit into 249???
    5·2 answers
  • A right triangle has side lengths 8 ,15 , 17 and as shown below.
    14·1 answer
  • The function f(x) = x3 – 7x + bis shown in the figure.<br> 15+
    7·1 answer
  • 3(x-4) = 2(-2x + 1)<br>this is confusing me​
    9·1 answer
  • 30 POINTSSSSSS If y varies directly as x, and y = 42 as x = 6, find y for the x-value 3
    15·2 answers
  • population or sample, a survey of 1000 adults in the united states found that 12% take there vacation during the winter months
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!