All categories

3 years ago

Observers in two lighthouses K and L spot a ship S.

Mathematics

1 answer:

BaLLatris [955]3 years ago

4 0

Answer:

KL = 12km s° = 59°

SL = 9.72km l° = 77°

SK = 13.6km k° = 44°

Step-by-step explanation:

When you know two angles you can find the third.

The angles always add to 180°:

A + B + C = 180°

so,

k ° + s ° + l° = 180°

44 + 77 + s = 180

121 + s = 180

s = 180 - 121

s = 59°

Law of Sines (the Sine Rule):

a/sinA = b/sinB = c/sinC

KS / sin(L) = KL / sin(S)

x / sin(77) = 12 / sin(59)

x = 12 sin(77) / sin(59)

x = 13.6km

similarly,

SL / sin(k) = KL / sin(S)

y / sin(44) = 12 / sin(59)

y = 9.72km

You might be interested in

Derivative of the following cos(x^{2} y)=y^{2}

MatroZZZ [7]

Answer:

$\cos( {x}^{2}y ) = {y}^{2} \\ \frac{d( \cos( {x}^{2}y) ) }{dx} = \frac{d( {y}^{2}) }{dx} \\ (2xy + {x}^{2} \frac{dy}{dx} ).( - \sin( {x}^{2} y) ) = 2y \frac{dy}{dx} \\ \frac{- 2xy \sin( {x}^{2}y ) - {x}^{2} \sin( {x}^{2} y) }{2y} = \frac{dy}{dx} \\$

3 0

2 years ago

Susie bought 434 pounds of cherries at the store. She ate 58 of a pound on the way home. How many pounds of cherries does Susie

Molodets [167]

Susie bought 434 pounds, and ate 58pounds

so, 434-58= 376

> 376pounds left

6 0

3 years ago

Brian and Zack went to the store and bought packs of gum. Brian bought 3 less packs than twice the number zack bought. Together

balu736 [363]

Answer:

Zack: 11
Brian: 19

Step-by-step explanation:

Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...

b = 2z -3 . . . . . . . Brian bought 3 fewer than twice what Zack bought

b + z = 30 . . . . . . they bought a total of 30 packs

Using the first equation to substitute into the second, we have ...

(2z -3) +z = 30

3z -3 = 30

3z = 33 . . . . . . add 3

z = 11

b = 2·11 -3 = 22 -3 = 19

_____

<em>Check</em>

b + z = 19 + 11 = 30 . . . . answer checks OK

Zack bought 11 packs; Brian bought 19 packs of gum.

3 0

3 years ago

Jaida was grocery shopping for easter dinner, she got 7 lb Spanish serano ham for $50, 5 lbs of russet potatoes for $5 and a bag

Marrrta [24]

Answer: $61.48

Step-by-step explanation:

First, let’s find her cost before tax by adding everything she bought together.

50+5+3=58

Then, find the cost of sales tax.

Convert 6% to a decimal

6/100=0.06

Multiply the total cost by the decimal

58*0.06=3.48

Add the tax and total cost together

58+3.48=61.48

So the total cost with tax is $61.48

Hope this helped!

8 0

3 years ago

Joanna has a full-time dog walking business. She walks 7 dogs a day, everyday, and charges $10.10 per dog per day. How much mone

zavuch27 [327]

Joanna makes $494.9 dollars in one week.

7 0

3 years ago