Chapter 11.2, Problem 26E

Two ships are steaming straight away from a point O along routes that make a 120° angle. Ship A moves at 14 knots (nautical miles per hour; a nautical mile is 2000 yd). Ship B moves at 21 knots. How fast are the ships moving apart when OA = 5 and OB = 3 nautical miles?

A fisherman is 7 miles west and 3 miles north of the marina. To head directly back to the marina, what distance and direction must he travel? For the direction, include both angle value and how it is being measured.

Iron Man and Thor are going to watch a movie with Captain America. Iron Man flies from his house to the top of Avengers’ Headquarters at an angle of elevation of 38°. He picks up Thor and they fly 130m directly to the movie theatre together, where they meet up with Captain America. After the movie, all three of them walk back to Iron Man’s home. The distance from the ground floor of Avengers’ HQ to Iron Man’s house is 60m and the angle at the ground floor of Avengers’ HQ is 72°. Determine how far the three superheroes had to walk home

A developer has a triangular lot at the intersection of two streets. The streets meet at an angle of 72°, and the lot has 300 feet of frontage along one street and 416 feet of frontage along the other street. Find the length of the third side of the lot.

What the difference between magnitude and direction?

A plane flies 700 miles from Atlanta to Philadelphia with a bearing of 55 degrees. Then it flies 340 miles from Philadelphia to Buffalo with a bearing of 35 degrees. Find the straight line distance and bearing from Atlanta to Buffalo.

During a scouting exercise, Andres leaves camp and hikes 2 miles northwest. He then turns and hikes 3 miles due north. Felicia leaves camp and plans to hike on a direct path to Andres' new position. What are the direction and distance Felicia should hike? A Direction: 107.7° Distance: 3.6 miles Direction: 287.7° Distance: 3.6 miles C Direction: 287.7° Distance: 4.6 miles Direction: 107.7° Distance: 4.6 miles