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dezoksy [38]
2 years ago
10

A lighthouse is located on an island 200 feet from the shore of the mainland as

Mathematics
1 answer:
Deffense [45]2 years ago
4 0

Answer: Approximately d = 208.72

============================================================

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

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home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

-1

5

= -0.2

θ =  

arctan( ΔY ) + 360°

ΔX

= 348.69006752598°

ΔX = 5 – -5 = 10

ΔY = -3 – -1 = -2

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -0.2x – 2

or

y =  

- 1 x

5

– -2

When x=0, y = -2

When y=0, x = -10

...............................................................................................................................................

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

5

-1

= -5

θ =  

arctan( ΔY ) + 180°

ΔX

= 101.30993247402°

ΔX = -3 – -1 = -2

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -5x – 10

When x=0, y = -10

When y=0, x = -2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

 

m

=

10

−

2

7

−

3

=

8

4

m = 2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

 

m

=

10

−

2

7

−

3

=

8

4

m = 2

Step-by-step explanation:    This is the picture, I graphed it

Center: (0, 0)

Angle: 0 rad

Opacity: 1

Width: 10

Height: 6.8

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3 years ago
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