Answer:
5√3
Step-by-step explanation:
The ratio of side lengths in a 30-60-90 triangle is ...
1 : √3 : 2
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Multiplying by 5, we have ...
1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10
The value of y is 5√3.
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<em>Additional comment</em>
y is the side adjacent to the 30° angle, so can be found from ...
Cos = Adjacent/Hypotenuse
Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse
y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values
y = 5√3
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The value of x is 5.
Lets take it in order:
1) 90 deg because the angle right next to it is a right angle
2) 128 deg becasue of the angle directly across from it
3) x = 180 - 128 = 52 deg
4) 180 = 90 + 52 + x so x = 180 - 90 - 52 = 38
5) 180 = 38 + x so x = 180 - 38 = 142
6) Same as 4
7) Same as 5
Check my math, as I just did it in my head
Answer:
10 yards 2 inches
Step-by-step explanation:
15 yd 5 in - 5 yd 3 in =
10 yards and 2 inches
