Estimate Building Height
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Estimate Building Height

A mathematics teacher wants to help his or her students to apply the lesson they are learning about sine law as a triangulation measurement tool. The teacher gather his or her students outside their school building to estimate its height. The teacher uses an improvise protractor to estimate the angle measurement in degree from his or her line of sight to the top corner of the building. The final informations are shown in the figure above. The teacher asks his or her students to estimate the height of their school building using sine law.

Triangulation is one of the methods used by surveyor before the arrival of electronic distance measurement (EDM) and Global Positioning Satellite (GPS) instrument that are used today in modern surveying. LiDAR (Light Detection and Ranging) and RADAR ( Radio Detection and Ranging) are measuring the distance between any two points. LiDAR and RADAR are used in autonomous vehicle. EDM, GPS, LiDAR, and RADAR are measuring the distance between any two points. Instead of using direct measurement like tape measure these instruments are using electromagnetic wave. Electromagnetic wave has a lot of spectrum such as microwave, radio wave, infrared wave, and light wave to name a few to measure a distance between two points.

Reviewer on triangulation measurement using Sine Law

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This apps (apps means computer programming application. Usually a combination of various programming code like html, css, javascript and many more) plus your smartphone, tablet, laptop, and desktop computer will help you to calculate solution for similar problem in less than sixty (60) seconds.

Find out side a = 10 ft ; Find out height of person = 5 ft

Find out angle A ° = 10 ° ; angle B ° = 150 ° ; angle C ° = 20 °

Then you can solve length of side b = ; length of side c =


Remember the sum of all angles must be 180° = (10°+150°+20°)


Given length of side "a" is, a =

Given height of person "p" is , p =

A° = B° = C° =
b = c =
Building Height = feet (ft) ANSWER


building height estimator using its shadow

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