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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

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The diagram shows a regular dodecagon.Work out the size of one interior angle
nikdorinn [45]

Answer:

150°

Step-by-step explanation:

number of terms=12

sum of exterior angles=360

one exterior angle=360/12=30

interior angle=180-30=150°

5 0
3 years ago
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
s344n2d4d5 [400]

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

m \:  =  \frac{y1 - y2}{x1 - x2}  \\  =  \frac{6 - 3}{1 - 2}  \\ =  \frac{3}{ - 1}  \\  =  - 3

Substitute x = 1 and y = 6 into equation,

6 = ( - 3)(1) + c \\ 6 =  - 3 + c \\ c = 6 + 3 \\  = 9

Therefore substituting m and c value, equation of line is

y =  - 3x + 9

5 0
2 years ago
A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from
Leona [35]

Answer:

A' =(-y,x)

Step-by-step explanation:

Given

Represent point A as thus;

A = (x,y)

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

Pos = (y,x)

Then, y is negated to give A'

A' =(-y,x)

5 0
3 years ago
I need help finding the answer!!
Whitepunk [10]

Answer:

The second option

Step-by-step explanation:

Here, we need to multiply each part of the matrix by -10.

This will give us: [ -230 380 ]

                           [ -170    60 ]

So, the answer is the second option.

3 0
2 years ago
You work for a horse farrier. You take a random sample of 75 Quarter Horses and determine that their mean height is 15.2 hands.
Evgesh-ka [11]

Answer:

B) You conclude that the mean height of all Quarter Horses is close to 15.2 hands

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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