A tree casts a shadow 210 feet long. Find the height of the tree if the angle of elevation of the...
Question:
A tree casts a shadow {eq}210 {/eq} feet long. Find the height of the tree if the angle of elevation of the sun is {eq}60 ^\circ {/eq}.
Trigonometry:
Trigonometry is a branch of mathematics used to solve the triangle-based problem (height and distance problem and another triangle problem). In this branch of mathematics, we learn the relation between angle and sides of the triangle. The following trigonometrical formula helps us to solve the given problem.
$$\tan \theta = \dfrac{{{\rm{Perpendicular}}}}{{{\rm{Base}}}} $$
The above formula is used to solve the right-angle triangle problem.
Answer and Explanation: 1
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Given Data
- The length of the tree's shadow is {eq}L = 210\;{\rm{ft}} {/eq}.
- The angle of elevation of the sun is {eq}\theta = 60^\circ {/eq}.
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What is Trigonometry? | Functions, Formulas & Applications
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Chapter 22 / Lesson 11
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Learn what trigonometry is and what trigonometric functions are. Understand the examples of how to use each function, as well as know the instances when it is useful to use trigonometry.
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