Answer:
A) ERROR
B) ∠C = 26°
Step-by-step explanation:
Houston, We have a problem!!! too much information
If we had a legit triangle, the law of sines would hold
19/sin138 = 8/sin20
28.395 = 23.390
as this is NOT an equality, the triangle does not exist as described.
IF it did, we'd get different results depending on which set we used
∠F = 180 - 138 - 20 = 22°
Law of sines
19/sin138 = DE/sin22 ⇒ DE = 19sin22/sin138 = <u>10.63697...</u>
or
8/sin20 = DE/sin22 ⇒ DE = 8sin22/sin20 = <u>8.762211...</u>
If we attempt to use Law of cosines
DE² = 19² + 8² - 2(19)(8)cos22 = <u>11.9639...</u>
so really none is correct because we attempt to use trig calculations to a non-triangle.
12) AC² = 15² + 19² - 2(15)(19)cos120
AC = 29.51270...
29.51270 / sin120 = 15/sinC
C = arcsin(15sin120/29.51270) = 26.1142... <u>26°</u>
The hypotenuses, is what I believe you're referring to.
<span>The other two are at a 90 degree angle to each other. There is no side
that is always adjacent, you just say adjacent if the side happens to be
right next to an angle you are describing. Same with opposite, it is
the one side that doesn't touch the angle you are describing.</span>
Answer:
0.5587
Step-by-step explanation:
<em>
</em>
- <em>
</em> - <em>Aft</em><em>er</em><em> </em><em>calc</em><em>ulating</em><em>,</em><em> </em><em>the</em><em> </em><em>an</em><em>swer</em><em> is</em><em>:</em><em> </em><em>0</em><em>.</em><em>5</em><em>5</em><em>8</em><em>7</em>
The two angles are supplementary angles which means they need to equal 180 degrees when added together.
4x + x = 180
5x = 180
Divide both sides by 5:
x = 180/5
x = 36
