+895 The length of a tree is 130 feet when the angle of elevation to the sun is \(\theta\).
a) Write the height of the tree as a function of \(\theta\).
b) If \(\theta=25^o\), find the height of the tree.
c) Rewrite your function in part a so that \(\theta\) is a function of the height of the tree.
d) If the height of the tree is 100 feet, what is the angle of elevation?
+37146 A. Height of tree = 130 ft x tan theta
B. 130 * tan (25) = 60.62 ft
C Tan theta = (tree height) / (shadow length)
D tan theta = 100/130
theta = arctan (100/130) = 37.57 dgrees
+37146 A. Height of tree = 130 ft x tan theta
B. 130 * tan (25) = 60.62 ft
C Tan theta = (tree height) / (shadow length)
D tan theta = 100/130
theta = arctan (100/130) = 37.57 dgrees
