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Question
You are standing 50 meters from the base of a tree that is leaning 4° from the vertical away from you. The angle of elevation from your feet to the top of the tree is 15°30'.
(a) Draw a triangle that represents the problem. Show the known quantities on the triangle and use the variable h to indicate the height of the tree. (Do this on paper. Your instructor may ask you to turn in this work.)
(b) Write an equation involving the unknown height h of the tree, the angle of elevation from your feet to the top of the tree H, and the angle opposite the distance from you to the base of the tree A.
H=50(Sin(H))/(Sin(A)) <-----I have solved this already I Just need help with C
(C) find the height of the tree
H=? meters
// a program to find the height of a tree
#include <stdio.h>
#include <math.h>
void main() {
float pi = 3.1416;
float B = 15.5; // angle to the top in degrees
float Brad = B*pi/180; // angle in radians
float A = 70.5; // angle at the tree top
float Arad = A*pi/180; // angle in radians
float d = 50; // distance to the tree
float h = d*sin(Brad)/sin(Arad);
printf ("The length of the tree trunk is %5.2f.\n", h);
printf ("The height of the top of the tree off the ground is %5.2f.\n", h*sin(Trad));
}
I compiled and ran this on my computer.
The output was:
The length of the tree trunk is 14.17.
The height of the top of the tree of the ground is 14.14.
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Scott A Wilson
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