Respuesta :

Answer:

Therefore, y = 12.3 cm

Step-by-step explanation:

Given:

Hypotenuse = 15 cm

Adjacent Side of ∠ 35° = y

Side opposite to ∠ 35° = x

To Find :

y = ?

Solution:

In Right Angle Triangle we have Cosine Identity as,

[tex]\cos 35 = \frac{\textrm{side adjacent to angle 35}}{Hypotenuse}\\[/tex]

Substituting the values we get

[tex]\cos 35 = \frac{y}{15}\\[/tex]

[tex]\therefore y =15\times \cos 35\\\\\therefore y =15\times 0.819\\\\\therefore y =12.2865\\\\\therefore y =12.3\ cm\ \textrm{Round to nearest tenth}[/tex]

Therefore, y = 12.3 cm

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