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1 answer:
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Answer:
Group B is farther from the airport.
Step-by-step explanation:
To find the distance of each group to the airport we can use the law of cosines in the triangle created with the two movements done and the resulting total distance.
Law of cosines:
For group A, we have the sides of 200 miles and 75 miles, and the angle between the sides is (180-68) = 112°, so the third side of the triangle is:
For group B, we also have the sides of 200 miles and 75 miles, and the angle between the sides is (180-51) = 129°, so the third side of the triangle is:
The distance from group B to the airport is bigger, so group B is farther from the airport.
Answer:
The area of the neighborhood in which they are advertising is 8.75 km²
Step-by-step explanation:
The coordinates of the street corners are;
(3, 15), (6, 4) and (11,9)
Therefore;
The distance between each street corner are found using the following formula;
Substituting, using an online tool, we find the distances;
Between (3, 15) and (6, 4), d = √32.5 km
Between (6, 4) and (11,9), d = √12.5 km
Between (3, 15) and (11,9), d = 5 km
The area is given by Heron's formula as follows;
Where;
s = (√32.5 + √12.5 + 5)/2
a = √32.5
b = √12.5
c = 5
Substituting (using an online tool) the values gives;
A = 8.75 km²
The area of the neighborhood in which they are advertising is 8.75 km²