What is the length of AB?
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.
The correct answer is 
°.
To solve for
, you can start by finding the measures of the triangle's interior angles. Knowing that a straight line measures 
°, you can subtract the given values from ° to find the measures of the respective supplementary interior angles. That would give you 
° 
and 
° 
.
Now, knowing that the measure of all the interior angles of a triangle is also°, you can add the two interior angles you know 
and subtract those from °. Doing so would give you the measure of the missing third angle, which is 
°.
Finally, because angle is the supplementary angle of the missing angle from the previous step, simply subtract that angle's measure from ° to find °, which is 
or °.
To solve for
Now, knowing that the measure of all the interior angles of a triangle is also
Finally, because angle