Answer:
m = 20 and n = 35
Step-by-step explanation:
The triangle on the right has 2 congruent sides and is isosceles
Thus the 2 base angles are congruent, that is
n = =
= 35
The external angle of a triangle is equal to the sum of the 2 opposite internal angles.
110 is an external angle to the triangle on the left, thus
m + 90 = 110 ( subtract 90 from both sides )
m = 20
Answer:
The flight was 137.45 miles farther than the direct path.
(make slight changes if directions were given on how to round. This is to the nearest hundredth)
Step-by-step explanation:
Use the Law of Cosines.
c^2=
a^2+b^2-2abcosC
You know two sides and the angle in between. The Law of Cosines will give us the third side.
The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.
Then subtract the smaller number (direct route) from the actual route. See image.
