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.

1) treeHeight = tan (angleElevation) * shadowLength;

2)

#include

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

int main () {

float treeHeight;

float shadowLength = 3.5;

float angleElevation = pi/6;

treeHeight = tan (angleElevation) * shadowLength;

return 0;

}