10th Class Programming: Height Calculation

Questions and Answers

What is the purpose of the program outlined in the code?

To provide real-time weather updates for an area.

To calculate the height of a building using trigonometry. (correct)

To measure distances using GPS technology.

To display graphical representations of building heights.

What variable is used to store the distance from the observer to the building?

angle_bottom

distance (correct)

angle_top

height

What function is used to compute the tangent of an angle in the code?

sqrt

log

tan (correct)

abs

If the observer is at a lower level than the base of the building, how is the height calculated?

<p>By subtracting the bottom angle height from the top angle height.</p> Signup and view all the answers

What does the program output if the observer's height level is classified as 'non of these'?

<p>The combined height of top and bottom calculated in meters.</p> Signup and view all the answers

Study Notes

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.

Description

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.