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  • 02-04-2021
  • Mathematics
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Find the missing sides and angles of this triangle

Find the missing sides and angles of this triangle class=

Respuesta :

reeserl reeserl
  • 02-04-2021

Answer:

LK = 3.56

ML = 8.76

m∠L = 66°

Step-by-step explanation:

tan 24 = [tex]\frac{LK}{8}[/tex]

8 tan 24 = LK

LK = 3.56

cos 24 = [tex]\frac{8}{ML}[/tex]

ML cos 24 = 8

ML = [tex]\frac{8}{cos 24}[/tex] = 8.76

∠L and ∠M are complementary

m∠L + m∠M = 90

m∠L + 24 = 90

m∠L = 66°

Note:  You need to learn the definitions of all the trig functions and then these types of problems are easy.  

For example, Tan of an angle = oppside/adjacent side.  OK?

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