Question

The figure gives the lengths of a tree and its shadow (in feet). Using the information given in the figure, find the value of $\theta$. (Hint : Use Tan $\theta$)

• A. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${60}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is C

${60}^{\circ }$

$\tan \theta =\frac{Perpendicular}{Base}=\frac{20\sqrt{3}}{20}=\sqrt{3}\therefore \theta ={60}^{\circ }$

Since tan ${60}^{\circ }$=$\sqrt{3}$