MATH SOLVE

3 months ago

Q:
# Can anyone help me with these two problems? I found the distance to one. Please, assignment is due tonight. Thank you.

Accepted Solution

A:

Answer: 32 mi @ N77°EStep-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___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 northRounded to whole numbers, the final position from harbor is ... 32 miles @ N 77° E