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) $y = x \tan \theta$

Question

Quizplus · Accepted Answer

The length of the shadow ($y$) can be found using the tangent of the angle ($\theta$), where $\tan(\theta) = \frac{x}{y}$. Rearranging this formula to solve for $y$ gives $y = \frac{x}{\tan(\theta)}$, which simplifies to $y = x \cot(\theta)$, making option B correct.

Solve the Problem θ\thetaθ , a Tree Casts a Shadow yyy , as a Function of the Angle

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