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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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The angle measures of triangle ABC is ∠A=90°, ∠B= 60°, ∠C = 30°. Thus, the correct option is B.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

As it is known that the angles of the triangle are 30°, 60°, and 90°. Therefore, the largest angle is 90° which will be the opposite of the largest side of the triangle, therefore, the measure of ∠A=90°.

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