SOLUTION: please calculate/solve for a right (90°) triangle when the vertical leg is 4" and hypotenuse is at a 30 degree angle (330°). what is the length of the base in inches? what is t

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Question 452464: please calculate/solve for a right (90°) triangle when the vertical leg is 4" and hypotenuse is at a 30 degree angle (330°).
what is the length of the base in inches?
what is the length of the hypotenuse in inches?
IE.
if the vert Leg 4" and the hypotenuse is at 45°
than the horz. leg is 4"
and the hypotenuse is 5.66"
but this makes a different right triangle and this one is easy for me. I know I should have listened better 38 years ago! In the future how can I figure this myself?
Thanks you in advance,
Arye P Rubenstein
aprarye@ameritech.net

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
please calculate/solve for a right (90°) triangle when the vertical leg is 4" and hypotenuse is at a 30 degree angle (330°).
what is the length of the base in inches?
what is the length of the hypotenuse in inches?
sin(30) = 1/2
--> sin(30) = 4/hyp = 1/2
hyp = 8 inch if I interpreted it right.
--------------
IE.
if the vert Leg 4" and the hypotenuse is at 45°
than the horz. leg is 4"
and the hypotenuse is 5.66"
--------------------
Using the same method:
sin(45) =~ 0.70711
hyp = 4/0.70711 =~ 5.66
--------------
but this makes a different right triangle and this one is easy for me. I know I should have listened better 38 years ago! In the future how can I figure this myself?
----------

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