Respuesta :

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.

============================================================

Solving :

⇒ cos x° = 7/11

⇒ x = cos⁻¹ (7/11)

⇒ x = 50.5°

Otras preguntas

Q&A Education