Calculate Crane Height from Angle Measurement

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SUMMARY

To calculate the height of a crane positioned on top of a 42-meter building using angle measurements, the angles of elevation to the bottom and top of the crane are 62 degrees and 68 degrees, respectively. The calculation requires determining the horizontal distance from the observer to the building. Using trigonometric functions, specifically tangent, the height of the crane can be derived by applying the formula: height = distance * tan(angle) for both angles and then subtracting the building height from the total height calculated.

PREREQUISITES
  • Basic understanding of trigonometry, specifically tangent functions.
  • Familiarity with angle measurement in degrees.
  • Ability to perform calculations involving heights and distances.
  • Knowledge of how to apply the tangent ratio in real-world scenarios.
NEXT STEPS
  • Learn how to apply the tangent function in trigonometric calculations.
  • Study the principles of angle of elevation and depression.
  • Explore practical applications of trigonometry in construction and engineering.
  • Investigate methods for measuring distances indirectly using angles.
USEFUL FOR

Students in mathematics, engineers involved in construction projects, and anyone interested in applying trigonometric principles to real-world problems.

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! :)
 
Last edited:
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We can't just give out answers, it's a rule. We need to see what he's tried first.

You (or your friend) should begin by finding out how far the person is from the building. Use the fact that the bottom of the crane is equal to the top of the building which is 42m high.
 

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