Answer to Question #99404 in C++ for Caleb

Question

Simple geometry can compute the height of an object from the object's shadow length and shadow angle using the formula: tan(angleElevation) = treeHeight / shadowLength.
1. Using simple algebra, rearrange that equation to solve for treeHeight. (Note: Don't forget tangent).
2. Complete the below code to compute treeHeight. For tangent, use the tan() function, described in the "math functions" link above.

Answer 1

#include <iostream>
#include <cmath>


using namespace std;


int main()
{
    float treeHeight, shadowLength, angleElevation;
    cout << "Enter the length of shadow: ";
    cin >> shadowLength;
    cout << "Enter the angle of elevation in radians: ";
    cin >> angleElevation;
    treeHeight = shadowLength * tan(angleElevation);
    cout << "Height of tree = " << treeHeight;
    return 0;
}