Answer:
32 mi @ N77°E
Step-by-step explanation:
The route of travel forms legs of a right triangle, so the final distance (d) from harbor can be found using the Pythagorean theorem:
d² = 28² +16² = 784 +256 = 1040
d = √1040 ≈ 32.249 . . . miles
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The angle (α) added to the original N47°E bearing can be found using the fact that opposite and adjacent sides are given. So, they can tell you the tangent of the angle:
tan(α) = 16/28
α = arctan(16/28) ≈ 29.74°
Then the bearing to the final position is ...
47° +29.74° = 76.74° . . . . . east of north
Rounded to whole numbers, the final position from harbor is ...
32 miles @ N 77° E
Answer:
x = 7
AC = 44
Step-by-step explanation:
Find the diagram attached
According to the parallelogram,
BD = 2BE
5x-3 = 2(2x+2)
5x-3 = 4x+4
5x-4x = 4+3
x = 7
Hence the value of x is 7
Also AC = 2AE
AC = 2(4x-6)
AC = 8x - 12
AC = 8(7) - 12
AC= 56-12
AC = 44
Hence the measure of AC is 44
Answer:
angle DLM= 21+50=71 degrees i think
Step-by-step explanation:
take the 2 from 2x and divide 42 by the 2 and you have your variable x solved