The Analysis and Implementation of Haversine Formulas in Determining Qibla Direction by Using Sphiral Trigonometry in Indonesia

Binti Maftukhah, Nurissaidah Ulinnuha, Mohammad Hafiyusholeh, Wika Dianita Utami

2018

Abstract

Muslims are fully obliged to pray five times a day. In carrying out this obligation, facing qibla is a one of the requirements of a valid prayer. However, there are no specific provisions set out in the Qur'an or Hadith which explicitly governs the direction of qibla for each inhabited area. The purpose of this research is to compile and obtain derivations of the haversine formula for calculating the qibla direction which is applied from the locations of Jakarta, Surabaya, and Makassar. The results show that by descending definitions of haversine, rules of cosine in spherical triangles, addition and multiplication rules on trigonometry and the circumference of the spherical triangle, the qibla direction formula from a location at point B isHav B=(sin⁡(s-c) sin⁡(s-a))/(sin⁡a sin⁡c ). B is the coordinate point of the calculated location, c is side length c, a is side length a, and s is the circumference of the spherical triangle. Results of the implementation of qibla direction for the three cities of Jakarta, Surabaya, and Makassar were 65°〖42〗^' 31.27'',65°〖29〗^' 10.89'',and66°〖51〗^' 53.67'', respectively.

Paper Citation

in Harvard Style

Maftukhah B., Ulinnuha N., Hafiyusholeh M. and Utami W. (2018). The Analysis and Implementation of Haversine Formulas in Determining Qibla Direction by Using Sphiral Trigonometry in Indonesia. In Proceedings of the Built Environment, Science and Technology International Conference - Volume 1: BEST ICON, ISBN 978-989-758-414-5, pages 268-271. DOI: 10.5220/0008906200002481

in Bibtex Style

@conference{best icon18,
author={Binti Maftukhah and Nurissaidah Ulinnuha and Mohammad Hafiyusholeh and Wika Dianita Utami},
title={The Analysis and Implementation of Haversine Formulas in Determining Qibla Direction by Using Sphiral Trigonometry in Indonesia},
booktitle={Proceedings of the Built Environment, Science and Technology International Conference - Volume 1: BEST ICON,},
year={2018},
pages={268-271},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008906200002481},
isbn={978-989-758-414-5},
}

in EndNote Style

TY - CONF

JO - Proceedings of the Built Environment, Science and Technology International Conference - Volume 1: BEST ICON,
TI - The Analysis and Implementation of Haversine Formulas in Determining Qibla Direction by Using Sphiral Trigonometry in Indonesia
SN - 978-989-758-414-5
AU - Maftukhah B.
AU - Ulinnuha N.
AU - Hafiyusholeh M.
AU - Utami W.
PY - 2018
SP - 268
EP - 271
DO - 10.5220/0008906200002481