Laras radar on her submarine detects two other subs nearby. the first one is 360m away the second is 250m, and the angle between
them is 34degrees.
what is the distance between the two other subs?
do not round during your calculations, round your final answer to the nearest meter.
what is the distance between the two other subs?
do not round during your calculations, round your final answer to the nearest meter.
1 answer:
Answer:
As u can see, we don't know if this is a right-angle triangle, so...
we can use the law of cosines
here's the formula - c2 = a2 + b2 − 2ab cos (of C)
(the 2 means squared)
so suppose:
360= a, and ∠A= the angle between 250 and ?
250= b, and ∠B= the angle between ? and 360
& ? = c, and ∠C= 34
(btw there is no strict format for the formula, refer to the pic i put)
so applying this to the formula ( c2 = a2 + b2 − 2ab cos (of C) ) ... we get...
?2= 360^2 + 250^2 - 2*360*250 cos(34)
?2 = =207.058535m
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Answer:
Step-by-step explanation:
In a right triangle, the two acute angles are complementary--they add up to 90 degrees.
Cosine is defined as the adjacent side divided by the hypotenuse. In the attached picture, .
The other acute angle is 90 - 18 = 72 degrees. Looking at just that angle, side <em>a</em> is the opposite side. So the ratio a/h is opposite over hypotenuse -- the sine ratio.
Therefor,