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The diagram shows a right angled triangle. 7cm and 11cm and x degrees. Find the size of angle x. Give your answer correct to 1 decimal place.​

The Diagram Shows A Right Angled Triangle 7cm And 11cm And X Degrees Find The Size Of Angle X Give Your Answer Correct To 1 Decimal Place class=

Answer :

Given:

  • Hyp= 11 cm
  • Adj= 7 cm

Note that:

  • Hyp= Hypotenuse
  • Adj= Adjacent

To find:

The size of the unknown angle "x".

Solution:

We'll have to check which one is appropriate from SOHCAHTOA.

In this question we'll have to use cos because hypotenuse and adjacent is given.

[tex]\large\boxed{cos(A)=\frac{adj}{hyp}}[/tex]

Substitute according to the formula.

[tex]cos \: x= \frac{7}{11}[/tex]

We'll have to use cos inverse.

[tex]x={cos}^{-1}(\frac{7}{11})[/tex]

[tex]x=50.47880364[/tex]

[tex]\large\boxed{x=50.5°}[/tex]

Therefore, the size of the unknown angle "x" is 50.5°

Answer:

50.5°

Step-by-step explanation:

Since the adjacent side and the hypotenuse of the triangle are given, we need to take the cos ratio of the angle x.

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Solving :

⇒ cos x° = 7/11

⇒ x = cos⁻¹ (7/11)

⇒ x = 50.5°

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