Calculating Crane Height from Angles

In summary, to calculate the height of a crane using angles, you will need to measure the angle of elevation and depression and use trigonometric principles. The formula for calculating crane height is (distance to point of observation) x tan(angle of elevation) + (distance to point of observation) x tan(angle of depression). It is important to know the distance from the crane to the point of observation for accurate calculation. This method can be used for any type of crane, but there are potential factors that could affect the accuracy, such as uneven ground, wind, and human error.
  • #1
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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  • #2
Just give it a try and we will guide you through. Start with making a rough diagram.
 

1. How do you calculate the height of a crane using angles?

To calculate the height of a crane using angles, you will need to measure two angles: the angle of elevation from the ground to the top of the crane and the angle of depression from the ground to the base of the crane. Once you have these measurements, you can use trigonometric principles to determine the height of the crane.

2. What is the formula for calculating crane height using angles?

The formula for calculating crane height using angles is: height = (distance from the base of the crane to the point of observation) x tan(angle of elevation) + (distance from the base of the crane to the point of observation) x tan(angle of depression).

3. Do I need to know the distance from the crane to the point of observation?

Yes, in order to accurately calculate the height of the crane, you will need to know the distance from the base of the crane to the point of observation. This can be measured using a tape measure or other measuring tool.

4. Can I use this method to calculate the height of any type of crane?

Yes, this method can be used to calculate the height of any type of crane as long as you have the necessary measurements and angles.

5. Are there any other factors that may affect the accuracy of the calculated height?

Yes, there are a few potential factors that may affect the accuracy of the calculated height, such as uneven ground, wind, and human error in measuring the angles. It is important to take these factors into consideration and try to minimize their impact for the most accurate calculation.

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