# Math

posted by .

find the parralel of latitude along which a journey of 166km makes a change of 4 degree in longitude give answer to the nearest degree

• Math -

4 degrees = 1/90 of circumference
radius at latitude θ = r cosθ
r of earth is 6378 km

circumference at latitude θ is 2π*6378 cosθ

we want 1/90 (2π*6378 cosθ) = 116
so,
cosθ = (116*90)/(2π*6378) = 0.26
θ = 75°

## Similar Questions

1. ### math

Chicago, Illinois has a longitude of 88 degrees West and a latitude of 42 degrees North. Indianapolis, Indiana is located at 86 degrees West and 40 degrees North. At this longitude/latitude, each degree is about 53 miles. What is the …
2. ### geography

1. In what direction does the Nile River flow?
3. ### geometry

The towns A and B are on the circle of latitude 24 degrees N.The longitude of A is 108degrees E and longitude B is 75 degrees E. a. Calculate the radius of the circle of latitude 24 degrees N. b.The shortest distance between A and …
4. ### math word problem

i have this table: day -- change in temperature mon -12 degree fahrenheight tues +6 degree f wed -4 degree f thur -9 degree f fri +8 degree f question: which two day period had the greatest change in temperature?
5. ### Social Studies

40 North latitude and 160 west longitude Pacific Oceann?
6. ### Science/Math

Calculate the angle of incident of beam radiation on a surface located at 45 degree north and 89.4 degree longitude, at 2:41 pm clock time (local standard time) on February 3, if the surface is tilted 30 degree from the horizontal …
7. ### Maths2

A plane leaves an airport X,20.6degree east and 36.8 degree north,and flies due south along the same longitude for 8hrs at the rate of 1000km/h to another airport Y,20.6 degree east and tita degree south.the plane then flies west to …
8. ### Maths

Using the exact trigonometric ratios of 45 degree,30 degree and 60 degree,evaluate the following,leaving where necessary your answer in surd form. (a) 3 sin 30 degree-2 cos 60 degree (b)(tan 45 degree)(4 cos 60 degree-2 cos 60 degree)
9. ### Physical Science

The polar circumference of Earth is 40,000km. What distance corresponds to a change of one degree of latitude?
10. ### Math

An aeroplane flies at an average speed of 950km/hr from town P(lat.40degreeS, long.29.5degreeW) due east to town Q and then due south to town R. If the distance from Q to R along their common longitude is 4,500km and the whole journey …

More Similar Questions