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Andrews [41]
3 years ago
14

From an observation point A, a forest ranger sights a fire at a bearing of 215°50'. From a point b, 8 miles due west of A anothe

r ranger sights the fire at a bearing of 125°50'. Approximate to the nearest tenth of a mile, the distance of the fire from A.​
Mathematics
2 answers:
kirill115 [55]3 years ago
7 0

Answer:

Step-by-steYou have two angles,

A=32°20'

B=57°40'

so, angle F at the fire, is 90°

d/5 = cosA = .845

d = 4.2 mi

If angle F had not been 90°, then using the law of sines,

d/sinA = 5/sinF

for this problem, sinF = 1p explanation:

Alisiya [41]3 years ago
5 0

Answer:

Step-by-step explanation:

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Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be us
scoray [572]

The measure of the missing side of the right triangle are as follows;

adjacent side = 5√2

hypotenuse =  10

<h3 /><h3>How to find the side of a right triangle?</h3>

A right angle triangle has one of its angles as 90 degrees.

Therefore,

using trigonometric ratios,

tan 45 = opposite / adjacent

tan 45 = 5√2 / a

adjacent side = 5√2 / 1

Therefore,

adjacent side = 5√2

sin 45 = opposite / hypotenuse

hypotenuse = 5√2 / √2 / 2

hypotenuse =  5√2 × 2 / √2

hypotenuse =  10

learn more on right triangle here: brainly.com/question/6322314

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5 0
2 years ago
The sum of two consecutive even integers is 106. what are the integers
jolli1 [7]
Let the consecutive even integers be x and (x+2).

x + (x + 2) = 106

2x + 2 = 106

2x = 104

x = 52

Thus the two integers are 52 and 54.




7 0
3 years ago
- Joy and John MacAllister have agreed to purchase a house for $79,900. First
taurus [48]

Answer:

Step-by-step explanation‎:

6 0
3 years ago
A helicopter hovers 1450 feet above a small island. The figure shows that the angle of depression from the helicopter to point P
puteri [66]

Answer:

1668 feet.

Step-by-step explanation:

We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.

If the distance required is x  (adj side) we have:

tan 41 = opp/adj

tan 41 = 1450/x

x = 1450 / tan 41

= 1668.03

5 0
3 years ago
Write the equation 9y = 12x + 0.2 in standard form. Identify A, B, and C.
uysha [10]

Answer:

A = -12, B = 9 and C = .2

Step-by-step explanation:

So it just looks like we need to use algebra to move everything around to get it in the form Ax + By = C

So, let's start with 9y = 12x + 0.2.  From standard form we have all terms wth variables on one side, so let's do that.  the right sie has both a variable term and non variable term, so let's get rid of the variable term.  The variable term is 12x, so to get rid of it you subtract 12x from both sides.

9y = 12x + 0.2

9y - 12x = 0.2

To make it exactly in standard form just rarrnge.

-12x + 9y = 0.2

So now we have A = -12, B = 9 and C = .2

5 0
3 years ago
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