Answered

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F
14 cm
8 cm
xº
Find the size of angle x.
Give your answer correct to 1 decimal place.

F 14 Cm 8 Cm Xº Find The Size Of Angle X Give Your Answer Correct To 1 Decimal Place class=

Sagot :

MrRoyal

Answer:

[tex]x = 34.8^\circ[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we simply apply sin formula which is:

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

In this case, it is:

[tex]sin(x) = \frac{8}{14}[/tex]

[tex]sin(x) =0.5714[/tex]

Take arcsin of both sides

[tex]x = sin^{-1}(0.5714)[/tex]

[tex]x = 34.84791[/tex]

[tex]x = 34.8^\circ[/tex] --- approximated

View image MrRoyal
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