SOLUTION: Solve a 30-60-90 Triangle What is the height of a right triangle with an angle that measures 30 degrees and a base of 4? Height=

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Question 1156486: Solve a 30-60-90 Triangle
What is the height of a right triangle with an angle that measures 30 degrees and a base of 4?
Height=
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Angles: 30°: 60°: 90°
in this type of triangle, if the length of one side and the side's corresponding angle is known, the length of the other sides can be determined using the ratio:
Ratio of sides: 1%3Asqrt%283%29%3A2
Side lengths: a%3Ab%3Ac
given that the side corresponding to the 30° angle is b=4
the height of a right triangle corresponding to the side a, so alpha=30°

1%3Asqrt%283%29=a%3Ab
1%3Asqrt%283%29=a%3A4
1%2A4=a%2Asqrt%283%29
a=4%2Fsqrt%283%29
a=2.3094

the height of a right triangle is 2.3094


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve a 30-60-90 Triangle
What is the height of a right triangle with an angle that measures 30 degrees and a base of 4?
Height=
It DEPENDS on where that 30o ∡ is located.



If this smaller acute angle is OPPOSITE the base, then the LONGER LEG/ALTITUDE is: 4sqrt%283%29.

However, if the larger acute angle is OPPOSITE the base, then the SHORTER LEG/ALTITUDE is: 4sqrt%283%29%2F3.