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.

Answer 1

Answer:

1) treeHeight = tan(angleElevation)*shadowLength;

2)

#include <math.h>

int main(){

float treeHeight;

float shadowLength = 3.5;

float angleElevation = pi/6;

treeHeight = tan(angleElevation)*shadowLength;

return 0;

}

Explanation:

Initially, we have that:

tan(angleElevation) = treeHeight/shadowLength.

1)

To isolate treeHeight, we have that shadowLength is being divided on the right side of the equality, so we pass it multiplying to the right side of the equality.

So

tan(angleElevation)*shadowLength = treeHeight

treeHeight = tan(angleElevation)*shadowLength;

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

I am going to write a c code for this:

#include <math.h>

int main(){

float treeHeight;

float shadowLength = 3.5;

float angleElevation = pi/6;

treeHeight = tan(angleElevation)*shadowLength;

return 0;

}