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
Dakota and Christine went shopping. Dakota bought two scarves and one hat for $13 Christine bought one scarves and two hats for
White raven [17]
One scarf=s
One hat=h

2s+h=13
s+2h=14

h=13-2s
(plug that into the other equation)

s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4

One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9
5 0
3 years ago
Multiple similarity transformations are preformed on a triangle. Which elements must be preserved?
Svet_ta [14]

Answer: The answer is C on edg.

Step-by-step explanation: I got it right

3 0
3 years ago
Which lines have a y-intercept at (0,4)?
Sati [7]

Answer:

y=-3x+4

Step-by-step explanation:

Using the formula y=mx+b

mx= slope b= y-intercept

hence,

y=-3x+4 has a y-intercept of (0,4)

8 0
3 years ago
Read 2 more answers
8. Which function is shown on the graph below?
Dafna11 [192]

Answer:

the answer is c

Step-by-step explanation:

-then+

6 0
2 years ago
I earned $100. I wish to give 15% of this to my mother. How much should I give her?
garik1379 [7]
<h2><em>All of it. Be kind to your mother.</em></h2><h2><em></em></h2><h2><em></em></h2><h2><em></em></h2><h2><em>In all seriousness, 15% of 100 is itself. 15. If it was 27%, it'd be 27. So on and so forth.</em></h2>
6 0
3 years ago
Read 2 more answers
Other questions:
  • After all costs are split evenly, how much does Max owe Becky? Help please tysm!
    12·2 answers
  • How much times can 8 go into 195
    15·2 answers
  • I have no clue what it is
    6·1 answer
  • Does anyone understand this.
    15·2 answers
  • Jose has scored 562 points on his math tests so far this semester he must score atleast 650 points write and solve an inequality
    11·2 answers
  • Here is another math question that i need help on 5 times 1/3
    7·2 answers
  • A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between non-congruent sides are cong
    15·2 answers
  • Find an order pair (x,y) that is solution to the equation 3x-y=8
    11·2 answers
  • Please help asap! giving brainliest for those who help!!
    9·1 answer
  • ILL DO BRAINLIEST
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!