The Challenge: Create a Scale Map |
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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 |
Measuring the island 
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