# GEOMETRY

A glider lands 26 miles west and 12 miles south from where it took off. The result of the trip can be described by the vector (- 26, - 12) ,
i got b but i don’t think it’s right
a ) about 29 miles at 25 south of west
b ) about 25 miles at 29 south of east
c ) about 29 miles at 25 south of east
d ) about 25 miles at 29 south of west

1. 👍
2. 👎
3. 👁
1. sqrt (26^2 + 12^2) = 28.6
tan angle s of w = 12/26 = .462
angle = 24.7 degrees
looks like A

1. 👍
2. 👎
2. the length of the vector is ... √(26^2 + 12^2)

the tangent of the angle (in Quad III) is ... -12 / -26

you're right ... b is not right

1. 👍
2. 👎

## Similar Questions

1. ### Math (Trig)

A ship leaves port at noon and has a bearing of S 25° W. The ship sails at 15 knots. How many nautical miles south and how many nautical miles west does the ship travel by 6:00 P.M.? (Round your answers to two decimal places.)

2. ### math

Two hikers started at the same location. One traveled 2 miles east and then 1 mile north. The other traveled 1 mile west and then 3 miles south. At the end of their hikes, how many miles apart are the two hikers?

3. ### Math

How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas? 43 miles 270 miles 495 miles 420 miles can someone help me understand how to do this problem i dont know how, after can you check my

4. ### Trigonometry

a boat travels on a course of bearing n 37 10' W for 79.5 miles. How many miles north and how many miles west has the boat traveled?

1. ### Geometry

Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right

2. ### geometry

PLEASE HELP WITH A FEW QUESTIONS triangle ABC has side lengths 8, 15, and 17 do the side lengths form a pythagorean triple? the length of the hypotenuse of a 30-60-90 triangle is 7 find perimeter to approach the runway, a pilot of

3. ### math

an athlete. an run in 6 miles in 51 minutes. at this rate approximately how far could the runner go in 1.5 hours? A. 0.2 miles B. 8.5 miles C. 10.6 miles D. 12.75 miles

4. ### Math

A surfer drives his dune buggy out into the sand dunes.He follows his compass 10 miles due north and then turns due west. If he ends up approximately 35 miles from where he started how far west did he travel? a- 10 miles b- 25

1. ### geometry

The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 2 miles east and 5 miles north of the City Center. The park is 5 miles west and 5 miles south of the Center. How far is it

2. ### Algebra

The scale of a map is 1 inch = 30 miles. How many actual miles does 5.25 inches represent? A) 157.5 Miles B) 175 Miles C) 1,575 Miles D) 1,750 Miles Please help me someone!

3. ### math

Oregon is about 400 miles from west to east, and 300 miles from north to south. If a map of Oregon is 15 inches tall (from north to south), about how wide is the map? PLEASE HELP AND EXPLAIN IT Set up a proportion: 15/300 (the

4. ### math

A lawyer drives from her home, located 6 miles east and 10 miles north of the town courthouse, to her office, located 4 miles west and 14 miles south of the courthouse. Find the distance between the lawyer's home and her office. I