Question

Изучая план местности , геодезистка нашла , что стены одного из зданий сходятся под углом 89°26'58", а не под прямым углом. Найдите градусную меру ошибки строителей этого здания.

Answer 1

Градусы,минуты и секунды можно разложить на 60 частей.Удобносчитать в столбик.

Answer 2

Finding the Error in Building Construction

The geodesist discovered that the walls of a building converge at an angle of 89°26'58" instead of forming a right angle. To determine the degree of error made by the builders, we need to calculate the difference between the measured angle and the expected right angle of 90°.

Calculation

To find the degree of error, we subtract the measured angle from 90°:

90° - 89°26'58"

To perform this calculation, we need to convert the minutes and seconds into decimal degrees. There are 60 minutes in a degree and 60 seconds in a minute. Converting the minutes and seconds to decimal degrees:

26' = (26/60)° = 0.4333° 58" = (58/3600)° = 0.0161°

Substituting these values into the calculation:

90° - 89°26'58" = 90° - (89° + 0.4333° + 0.0161°) = 0.5506°

Therefore, the degree of error made by the builders of the building is approximately 0.5506°.