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Alja [10]
2 years ago
11

A = 14.9 cm, b = 14.1 cm and C = 5.7 cm for the triangle shown below.

Mathematics
1 answer:
Kaylis [27]2 years ago
8 0

Answer:

X is 22.5°

Step-by-step explanation:

» Let's assume our diagram is as above, from trigonometric ratio:

{ \tt{ \red{ \sin( \theta) =  \frac{opposite}{hypotenuse}  }}} \\

  • theta is X
  • opposite is a
  • hypotenuse is c

{ \tt{ \sin(x) =  \frac{a}{c}  }} \\  \\ { \tt{ \sin(x)  =  \frac{5.7}{14.9} }} \\  \\ { \tt{ \sin(x)  = 0.3826}} \\  \\ { \tt{x =  { \sin }^{ - 1}(0.3826) }} \\  \\ { \boxed{ \tt{x = 22.5 \degree}}}

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