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mojhsa [17]
3 years ago
15

forest ranger christ johnson at ranger station a sights a fire in teh direction 32 east of north. ranger rick thorpe at ranger s

tation b, 10 miles due east of a, sights the same fire on a line 48 west of north. find the distance from each ranger station to the fire.
Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer: 8.6 from Ranger Christ and 6.8 from Ranger Rick

Step-by-step explanation:

The sides of triangle with A point as Ranger christ, B point as Ranger rick and C point at which two fires intersect.

This can be better understood by using law of sines

\frac{sin(90-32)}{a}= \frac{sin(90-48)}{b}= \frac{sin(180-58-42)}{10}

Solving we get

a= 8.6

and b= 6.8

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Studentka2010 [4]
A) 3
71 fits into 211 three times
4 0
3 years ago
Read 2 more answers
Please help... I have no clue
muminat

Answer:

OPTION C:  Sin C - Cos C = s - r

Step-by-step explanation:

ABC is a right angled triangle. ∠A = 90°, from the figure.

Therefore, BC = hypotenuse, say h

Now, we find the length of AB and AC.

We know that:   $ \textbf{Sin A} =  \frac{\textbf{opp}}{\textbf{hyp}} $

and    $ \textbf{Cos A} = \frac{\textbf{adj}}{\textbf{hyp}} $

Given, Sin B = r and Cos B = s

⇒    $ Sin B = r = \frac{opp}{hyp} = \frac{AC}{BC} = \frac{AC}{h} $

⇒ $ \textbf{AC} = \textbf{rh} $

Hence, the length of the side AC = rh

Now, to compute the length of AB, we use Cos B.

$ Cos B = s = \frac{adj}{hyp} = \frac{AB}{BC} = \frac{AB}{h} $

⇒  $ \textbf{AB} = \textbf{sh} $

Hence, the length of the side AB = sh

Now, we are asked to compute Sin C - Cos C.

$ Sin C = \frac{opp}{hyp} $

⇒  $ Sin C = \frac{AB}{BC} $

              $ = \frac{sh}{h} $

               = s

Sin C = s

$  Cos C = \frac{adj}{hyp} $

$ \implies Cos C = \frac{AC}{BC} $

⇒ Cos C = $ \frac{rh}{h} $

Therefore, Cos C = r

So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.

5 0
3 years ago
A science fair poster is very rectangular 3 feet long and 2 feet wide what is the area of the poster in square inches
pantera1 [17]
You want to do base × height to get your answer
3×2 = 6
So the area of the poster is 6 sq in.


If this helps pls mark brainliest pts
8 0
3 years ago
Jack bought a pair of pants and a shirt for $56. If the price of a shirt is two-fifth of the price of a pair of pants, then what
Juliette [100K]

Answer:

Fraction: 22 2/5  

Decimal: $22.4

Step-by-step explanation:

2/5 x 56

6 0
3 years ago
Read 2 more answers
How do you simplify 8*1/10
Lelechka [254]

Answer:

Improper its 81/10

Step-by-step explanation:

8   1/10~ we should multiply denominator with whole number then add numerator:

10 x 8 = 80+ 1 = 81

In improper its- 81/10

Hope this helps :D

8 0
3 years ago
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