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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