Angle of Elevation: Calculating Height of Statue

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SUMMARY

The discussion focuses on calculating the height of a statue using the angle of elevation, specifically referencing variables such as angle x (also referred to as alpha), distance a, and angle beta. The formula presented involves trigonometric functions, specifically sine and cosine, to relate these variables. Participants emphasize the need for a diagram to clarify the relationships between the angles and distances involved in the calculation.

PREREQUISITES
  • Understanding of trigonometric functions (sine, cosine)
  • Familiarity with angles of elevation and their applications
  • Basic knowledge of geometry, particularly in relation to triangles
  • Ability to interpret mathematical formulas and diagrams
NEXT STEPS
  • Research the application of trigonometric ratios in real-world height calculations
  • Learn how to create and interpret diagrams for geometric problems
  • Study the concept of angle of elevation in surveying and architecture
  • Explore advanced trigonometric identities and their applications
USEFUL FOR

Students in mathematics, engineers, architects, and anyone involved in fields requiring precise height measurements and geometric calculations.

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(90) on a column stands a statue of length b. From some point
If the foot of the statue with an angle of elevation x. approaching the observation point a distance to the column, the part looks more high from the same angle increased in betha statue. Demonstrate that (see figure)

from figure I see sinalpha/cos(alpha) (a -acosbetha+bsinbetha) = a sen (betha) -b+bcos(betha)
I think this is that I must demonstrateView attachment 2088
 

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You mention an angle of elevation $x$, but it is not present in the formula attached. What does $a$ represent?

Please attach a diagram so that we can see what the variables actually represent.
 
MarkFL said:
You mention an angle of elevation $x$, but it is not present in the formula attached. What does $a$ represent?

Please attach a diagram so that we can see what the variables actually represent.

Sorry
x is alpha in the formula or image
 

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