Simple geometry can compute the height of an object from the object\'s shadow le

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.
2. Write a statement to assign treeHeight with the height calculated from an expression using angleElevation and shadowLength.

code:

import java.util.Scanner;
import java.lang.Math;

public class TreeHeight {
public static void main(String [] args) {
double treeHeight = 0.0;
double shadowLength = 0.0;
double angleElevation = 0.0;

angleElevation = 0.11693706; // 0.11693706 radians = 6.7 degrees
shadowLength = 17.5;

/* Your solution goes here */

System.out.print("Tree height: ");
System.out.println(treeHeight);

return;
}
}

Explanation / Answer

Answer:

treeHeight = shadowLength * Math.tan(angleElevation);

import java.util.Scanner;
import java.lang.Math;

public class TreeHeight {
public static void main(String [] args) {
double treeHeight = 0.0;
double shadowLength = 0.0;
double angleElevation = 0.0;

angleElevation = 0.11693706; // 0.11693706 radians = 6.7 degrees
shadowLength = 17.5;

/* Your solution goes here */

treeHeight = shadowLength * Math.tan(angleElevation);

System.out.print("Tree height: ");
System.out.println(treeHeight);

return;
}
}

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