Solve for x? The hypotenuse is 8, the side opposite is not there, i need to find x which is the side adjacent. The acute angle, opposite?

2017-01-31 1:32 am
of the right angle is 32 degrees. I must find x to the nearest hundredth.
a. 4.24
b. 6.78
c. 5.00
d. 12.80

回答 (2)

2017-01-31 1:37 am
cos32° = (adjacent side) / hypotenuse
cos32° = x/8
x = 8 cos32°
x = 6.78

The answer: b. 6.78
2017-01-31 1:51 am
 
In a triangle, no angle is opposite another angle.
All angles are opposite a side.

From your description, since 32 is the only acute angle given, and since you describe x as the adjacent side, then:

cos(32) = adj/hyp = x/8
x = 8 * cos(32)
x = 6.78438476925

Answer is: b. 6.78


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