Question
- A ladder rests against the top of the
perpendicular wall of a building and makes
an angle of
from the wall, calculate
the height of the building’
- An electric plylon stands on horizontal
ground. At a point som from the base
of the pylon, the angle of elevation of
the top of the pylon is
. Calculate
the height of the pylon
perpendicular wall of a building and makes
an angle of
the height of the building’
ground. At a point som from the base
of the pylon, the angle of elevation of
the top of the pylon is
the height of the pylon
Ask by Hobbs Weber. in Kenya
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To find the height of the building in Problem 13, use the formula:
For Problem 14, the height of the pylon is calculated as:
Make sure to have the ladder length and distance from the pylon to find the exact heights.
Solution

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Bonus Knowledge
Throughout history, ladders have been a symbol of progress and achievement! From ancient Egyptians using them to reach the heights of their pyramid constructions to the iconic image of a firefighter rescuing a cat from a tree, ladders have aided humanity in reaching new heights—both literally and metaphorically. Interestingly, the math behind calculating these heights goes back to ancient civilizations, showcasing the blend of physics and engineering that has shaped our world.
When it comes to pylon height calculations, real-world applications come to life! Engineers use similar triangles, like the one formed by the pylon, ground, and the observer’s line of sight, to determine heights without complicated equipment. This method is crucial in fields such as construction and telecommunications, where precise heights ensure proper infrastructure placement, ultimately leading to safer and more efficient designs. So next time you see a tall structure, remember the math that helps keep it standing strong!