SOLUTION: ΔABC is a right triangle with m∠C being a right angle. m∠A= 29 °,b=8, find a.
a. 14.4
b. 4.4
c. 3.9
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Question 1087902: ΔABC is a right triangle with m∠C being a right angle. m∠A= 29 °,b=8, find a.
a. 14.4
b. 4.4
c. 3.9
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are two ways to go about this. First, note that this is very close to a 30-60-90 right triangle (29 degrees is close to 30, and 61 degrees is close to 60) where the sides are in proportion:
Hence, the measures of the sides will be 
for the hypotenuse, 
for side 
, and half of the hypotenuse or 
for side 
. Note that you will have to use the closest of the given answers because this answer will be slightly larger than the nearest tenth measure of side
Or you could use the Law of Sines
}\ =\ \frac{b}{sin(B)})
Which is to say
}{sin(B)})
John
My calculator said it, I believe it, that settles it
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