Solve the Problem $\theta$ , a Tree Casts a Shadow $y$ , as a Function of the Angle

question 264

Multiple Choice

Solve the problem.
-When the angle of elevation of the sun is $\theta$ , a tree casts a shadow. Write a formula which expresses the length of the tree's shadow, $y$ , as a function of the angle $\theta$ and the height of the tree, $x$ .

• A) \(y = x \cos \theta\)
• B) \(y = x \cot \theta\)
• C) \(y = \frac { \cot \theta } { x }\)
• D) \(y = x \tan \theta\)

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