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#include <iostream>
using namespace std;
#include <math.h>
void DisplayMenu(void);
void getXgetY(double &x,double &y);
void pointsDistance(void);
double calculateDistance(double x1,double y1,double x2,double y2);
void horizontalAngle(void);
double calculateAngle(double x1,double y1,double x2,double y2);
void horizontalDistance(void);
double calculateHorizontalDistance(double angle, double velocity);
void destinationPoint(void);
void calculateAngleDistance(double x1, double y1, double distance,
double degree,double&x2,double&y2);
int main()
{
int option;
do
{
DisplayMenu();
cout<<"Enter option(1-5): ";
cin>>option;
if(option == 1)
pointsDistance();
else if(option == 2)
horizontalAngle();
else if(option == 3)
horizontalDistance();
else if(option == 4)
destinationPoint();
else if(option != 5)
cout<<endl<<"Please enter a number from 1 to 5"
<<endl<<endl;
}
while (option != 5);
cout<<"Goodbye!"<<endl;
return 0;
}
void DisplayMenu(void)
{
cout<<"Menu: "<<endl;
cout<<"1: Distance between two points"<<endl;
cout<<"2: Find horizontal angle between two points"<<endl;
cout<<"3: Horizontal distance traveled"<<endl;
cout<<"4: Option 4"<<endl;
cout<<"5: Exit program"<<endl;
}
void getXgetY(double&x,double&y)
{
cout<<"x-coordinate?"<<endl;
cin>>x;
cout<<endl;
cout<<"y-coordinate?"<<endl;
cin>>y;
}
void pointsDistance(void)
{
double x1,y1,x2,y2;
double distance;
cout<<endl<<"Point 1: "<<endl;
getXgetY(x1,y1);
cout<<"Point 2: "<<endl;
getXgetY(x2,y2);
distance=calculateDistance(x1,y1,x2,y2);
cout<<"Distance: "<<distance<<endl<<endl;
}
double calculateDistance(double x1,double y1,double x2,double y2)
{
double distance;
distance=sqrt(pow(x2-x1,2)+pow(y2-y1,2));
return distance;
}
void horizontalAngle(void)
{
double x1,y1,x2,y2,horAngle;
cout<<endl<<"Point 1: "<<endl;
getXgetY(x1,y1);
cout<<"Point 2: "<<endl;
getXgetY(x2,y2);
horAngle=calculateAngle(x1,y1,x2,y2);
cout<<"Horizontal angle is: "<<horAngle<<endl;
}
double calculateAngle(double x1,double y1,double x2,double y2)
{
const double PI=3.1415926;
double horAngleRad,horAngleDegree,dx,dy;
dx=x2-x1;
dy=y2-y1;
if (dx>0)
horAngleRad=atan(dy/dx);
else if(dx<0)
horAngleRad=atan(dy/dx) + PI;
else if(dx=0 && dy>=0)
horAngleRad=PI/2.0;
else
horAngleRad=-PI/2.0;
horAngleDegree=horAngleRad*180/PI;
return horAngleDegree;
}
void horizontalDistance(void)
{
double distance,elevationAngle,velocity;
cout<<"Elevation angle (in degrees): "<<endl;
cin>>elevationAngle;
cout<<endl<<"Velocity (in miles per hour): "<<endl;
cin>>velocity;
distance=calculateHorizontalDistance(elevationAngle,velocity);
cout<<"Horizontal distance traveled: "<<distance<<endl;
}
double calculateHorizontalDistance(double angle, double velocity)
{
const double PI=3.1415926;
const double gravity=32.172;
const double feet_per_mile=5280;
const double seconds_per_hour=3600;
double elevationAngleRad,horDistance;
elevationAngleRad=angle*PI/180.0;
velocity=velocity*feet_per_mile/seconds_per_hour;
horDistance=pow(velocity,2)*sin(2*elevationAngleRad)/gravity;
return horDistance;
}
void destinationPoint(void)
{
double x1,y1,x2,y2;
double travelDistance,horAngleDeg;
cout<<"Starting point: "<<endl;
getXgetY(x1,y1);
cout<<"Distance to travel (in feet)?"<<endl;
cin>>travelDistance;
cout<<"Horizontal angle (in degrees)?"<<endl;
cin>>horAngleDeg;
calculateAngleDistance(x1,y1,travelDistance,horAngleDeg);
cout<<"X-coordinate: "<<x2<<endl;
cout<<"Y-coordinate: "<<y2<<endl;
}
void calculateAngleDistance(double x1, double y1, double distance,
double degree,double&x2,double&y2)
{
double degreeRad,dx,dy;
const double PI=3.1415926;
degreeRad=degree*PI/180.0;
dx=distance*cos(degreeRad);
dy=distance*sin(degreeRad);
x2=x1+dx;
y2=y1+dy;
}
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