Calculating Crane Height from Angles

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SUMMARY

The discussion focuses on calculating the height of a crane positioned on top of a 42-meter tall building using trigonometric principles. The angles of elevation measured to the bottom and top of the crane are 62 degrees and 68 degrees, respectively. By applying the tangent function, the height of the crane can be determined through the formula: height = building height + (distance from the observer * tan(angle)). The solution involves creating a diagram to visualize the scenario and applying these calculations accurately.

PREREQUISITES
  • Basic understanding of trigonometry, specifically tangent functions.
  • Familiarity with angle measurement in degrees.
  • Ability to create and interpret geometric diagrams.
  • Knowledge of height calculation methods in real-world applications.
NEXT STEPS
  • Study the tangent function in trigonometry for height calculations.
  • Learn to create and analyze geometric diagrams for elevation problems.
  • Explore real-world applications of trigonometry in construction and engineering.
  • Investigate advanced crane height calculation techniques using software tools.
USEFUL FOR

Students in mathematics, engineers involved in construction projects, and anyone interested in practical applications of trigonometry for height measurement.

Cbray
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To calculate the height of a crane which is on top of a building, dennis measures the angle of elevation to the bottom and the top of the crane. these were 62 degrees and 68 degrees respectively. if the building is 42 metres high find the height of the crane.

I'm asking for a friend, excuse the English it was sent through an instant message.
He would prefer the answer (and working if possible), thanks! :)
 
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Just give it a try and we will guide you through. Start with making a rough diagram.
 

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