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Trig Functions

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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?

#1
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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
+13638
+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