0
Visit Your Local PBS Station PBS Home PBS Home Programs A-Z TV Schedules Watch Video Donate Shop PBS Search PBS
0
Rough Science
Explore the Challenges
Solve the Web Challenge
Meet the Rough Scientists
About the TV Series
Discover More
Feedback
Site Map
Explore the Challenges

The Challenge: Create a Scale Map



If you know how to work out the distance to the object, you can now work out its height. For example, if you measure the vertical angle of the object to be 35° and you have already calculated that it is 1000 meters away, then:


tan(35°) = opposite/adjacent = (height)/1000
height = (1000 x tan 35°)
Measuring the height of an object using trigonometry

Using this equation, we can work out the height of these objects if we have the angle.

ANGLE = 45o TAN 45o = 1
Therefore:
HEIGHT
= (1000x1) =1000m
ANGLE = 70o TAN 70o = 2.747
Therefore:
HEIGHT
= (1000 x 2.747) = 2747m
ANGLE = 10o TAN 10o = 0.176
Therefore:
HEIGHT
= (1000 x 0.176) = 176m