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The diagram shows a right-angled triangle.
9 cm
to
15 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

The Diagram Shows A Rightangled Triangle 9 Cm To 15 Cm Find The Size Of Angle X Give Your Answer Correct To 1 Decimal Place class=

Sagot :

Answer:

x ≈ 31.0°

Step-by-step explanation:

From the right triangle given in the picture,

By applying tangent rule,

tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(x) = [tex]\frac{9}{15}[/tex]

x = [tex]\text{tan}^{-1}(\frac{9}{15} )[/tex]

x = [tex]\text{tan}^{-1}(0.6)[/tex]

x = 30.96

x ≈ 31.0°

Therefore, measure of angle x is 30.0°

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