10th Class Programming: Height Calculation

Overview of the Code

• A program designed to calculate the height of a structure (referred to as "pics") using basic trigonometry.
• Assumes familiarity with Google Maps for distance estimation and basic math for calculations.

Required Inputs

• Distance from the observer to the structure in kilometers.
• Angles measured from eye level to the top and bottom of the structure (in degrees).
• Observer's relative height compared to the structure (lower, higher, or at the same level).

Key Variables

• distance: Stores the distance to the structure.
• angle_top: Angle from eye level to the top of the structure.
• angle_bottom: Angle from eye level to the bottom of the structure.
• height: Resulting height of the structure calculated based on inputs.

Calculations

• Uses tangent function from trigonometry to determine heights:
  • top = abs(tan(angle_top * M_PI / 180)) * distance: Calculates the height from the eye level to the top.
  • bottom = abs(tan(angle_bottom * M_PI / 180)) * distance: Calculates the height from the eye level to the bottom.

Conditional Logic

• A switch statement differentiates heights based on the observer's position:
  • If the observer is lower than the structure, height is top - bottom.
  • If the observer is higher, height is bottom - top.
  • If at the same level, height is calculated as top + bottom and converted to meters.

Outputs

• The program displays the approximate height of the structure in meters.
• User feedback is provided at the start ("Welcome to 10th pic height calculator!") and when the calculation is complete ("Thank you for using our calculator!").

Notes on Implementation

• Floating-point numbers are used for precision in calculations.
• Angles are converted from degrees to radians for trigonometric functions.
• M_PI is used for the value of π in calculations, indicating mathematical constants usage.
• User inputs are read using scanf, and character input is handled for the observer's height comparison.

This quiz covers basic programming concepts related to a height calculation application using distance measurements. It is designed for 10th-grade students familiar with programming syntax and mathematics. Students will use float variables and basic input/output functions to solve real-world problems.