The height of a vertical cone is 24.5cm. If the angle at the apex is 48º37'10", how do you find the length of the slant edge of the cone?

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Answer 1 · 2016-01-12T13:52:07

The length of the slant edge od the cone is #26.88cm # to 2 decimal places

Assumption: The angel given is between the opposing sides and not between vertical and the side.

Tont B

Know: #AD = ACcos(/_DAC)#

#/_DAC =(/_ABC)/2 =24^o18'35''#

#=> AC=(AD)/(cos(24^o18'35'')) =( 24.5)/(cos(24^o18'35'')#

#AC=26.88374cm#

#AC=26.88cm # to 2 decimal places

'~~~~~~~~~~~~~~~~~~ Foot Note ~~~~~~~~~~~~~~~

#35'' = 35/(60xx60) # degrees
#18' = 18/60 # degrees

So #24^o18'35'' = 24+18/60+35/3600# degrees