at the foot of a mountain the elevation of its summit is
45°
after ascending 1000m towards the
mountain up a slope of 30• inclination
the elevation is found to be 60
find the height of the
mountain
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☀ Let F be the foot and S be the summit of the mountain FOS.
☀ Let's say OF = OS = h km. Let FP = 1km be the slope so that :
☀ Draw :
Join PS.
☀ In ∆FPL :
☀ Finding MS :
☀ Also, we have :
☀ Now, we have :
☀ In ∆SPM :
☀ Finding the value of ‘h’ :
☀ Therefore, the height of the mountain is 1.36km.
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Anonymous:
Supercalifragilisticexpialidocious !
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