1. Seekor burung helang berada 4.56 m di atas aras laut manakala seekor kuda laut berada 6.82 m
1 answer:
(a) Calculate the vertical distance between the eagle and the seahorse.
Answer a: 11.38 meters is the vertical distance between them.
(b) Describe Adrian's position from the sea level.
Answer b: Adrian is 1.13m below the sea level.
Step-by-step explanation:
(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.
The vertical distance between the eagle and the seahorse is the difference between their positions:
Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters
Answer a) 11.38 meters is the vertical distance between them.
(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:
Middle = 11.38m/2 = 5.69m
Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:
4.56m - 5.69m = -1.13m
Answer b: Adrian is 1.13m below the sea level.
<h2><em>Spymore</em></h2>
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Answer:
7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg
8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg
Step-by-step explanation:
Law of Cosines
You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.
Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.
7.
We use the law of cosines to find C.
Now we use the law of sines to find angle A.
Law of Sines
We know c and C. We can solve for a.
Cross multiply.
To find B, we use
m<A + m<B + m<C = 180
40.8 + m<B + 78.6 = 180
m<B = 60.6 deg
8.
I'll use the law of cosines 3 times here to solve for all the angles.
Law of Cosines
Find angle A:
Find angle B:
Find angle C: