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?

AdamTaurus Feb 21, 2018

#1**+1 **

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

ElectricPavlov Feb 21, 2018

#1**+1 **

Best Answer

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

ElectricPavlov Feb 21, 2018