Answered

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a = 14.9 cm, b = 14.1 cm and C = 5.7 cm for the triangle shown below.
X
a
-- C
b-
Work out the value of x rounded to 1 DP.
The diagram is not drawn to scale.

Sagot :

brainsoft

Answer:

X is 22.5°

Step-by-step explanation:

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

[tex]{ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ [/tex]

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

[tex]{ \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}}}[/tex]

View image brainsoft
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