A tree casts a shadow of 15 meters when the angle of elevation of the sun is 30
Practice Questions
Q1
A tree casts a shadow of 15 meters when the angle of elevation of the sun is 30 degrees. How tall is the tree?
5√3 meters
15 meters
10 meters
7.5 meters
Questions & Step-by-Step Solutions
A tree casts a shadow of 15 meters when the angle of elevation of the sun is 30 degrees. How tall is the tree?
Trigonometry – The problem involves using the tangent function to relate the height of the tree to the length of its shadow based on the angle of elevation of the sun.
Angle of Elevation – Understanding how the angle of elevation affects the relationship between the height of an object and the length of its shadow.
Right Triangle Properties – The scenario can be visualized as a right triangle where the height of the tree is the opposite side, the shadow is the adjacent side, and the angle of elevation is the angle between the ground and the line of sight to the top of the tree.
