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Montano1993 [528]
3 years ago
6

In the triangle below, determine the value of a.

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

Step-by-step explanation:

This is classic right triangle trig.  Side a, our unknown, is adjacent to angle C which is a given.  You always have to use a given angle and side to find a missing side, so we have to figure out how the two givens are related to our unknown.  Side a is adjacent to angle C, and we are also given the hypotenuse.  We know side a is not the hypotenuse since the hypotenuse is ALWAYS the side across from the 90 degree angle.  The tan ratio of angle C will give us a way to have only one unknown.

tan 43 = a/26 and

26 tan 43 = a

Use your calculator now to find the missing side.  

a = 24.2 units long

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