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katiepotter
01.04.2020 •
Mathematics
Which parts of △DEF can be determined using only the Law of Cosines?
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Ответ:
x = 37.85
this is a standard "trig" question
it requires two pieces of insight.
First that a triangle has 180° interior angles.
from that you can determine that the third angle is 25° because
90 + 65 + β = 180
the red symbol lets you know that it is 90°
the second think that will help is SOHCAHTOA
that is if you have a "right triangle" (one with a 90° angle)
in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up
in this case you have the 16 on the bottom (adjacent to the angle) and
the x is on the hypotenuse...
you have the A& H that is COS
thus you have cos(65) =![\frac{16}{x}](/tpl/images/1398/4431/0c0ae.png)
x = 37.85
Step-by-step explanation: