Tallest+Tree+in+the+Grove!!!!!!!!!!!!!!!!!!!

=Tallest Tree in the Grove!!!!!!!!! =


 * Chelsea Crandall **, **Leah Holzhauer **, **Elizabeth Maberry ** and Christopher Funk.



Problem- You have been instructed to measure the tallest tree in a grove. You can't climb to the top of the tree, but you can't see the top of the tree until you move back from it quite a distance. Using an inclinometer, you determine that the angle of elevation to the top of the tree is 23 degrees. Moving 20 feet directly toward the tree on a patch of flat ground, you determine that the angle of elevation to the top of the tree is 36 degrees. Using an altimeter, you find that your elevation above sea level is 235 feet while the base of the tree has an elevation above sea level of 213 feet above sea level. Answer: The tallest tree in the grove measures 42.4 feet tall.

Work: Explanation:
 * ﻿Draw a picture, if needed, like the one shown above.
 * Solving this problem as we did, you have to find x before finding y.
 * To determine what x equals, we used the Law of Sines.
 * We solved for x to get approximately 34.7 feet.
 * Once we knew the value of x, we used the Law of Sines again to find y.
 * The value of y was approximately 20.4 feet.
 * But, the value of y is not the height of the tree.
 * You next need to add 20.4 feet to the differnece in elevation above sea level betweeen the place where the person is standing and the place where the tree is.
 * <span style="color: #ff3300; font-family: 'Comic Sans MS',cursive; font-size: 110%;">In doing this, we got the final height of the tree, 42.4 feet.