Answer:
Therefore, y = 12.3 cm
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,
![\cos 35 = \frac{\textrm{side adjacent to angle 35}}{Hypotenuse}\\](https://img.qammunity.org/2020/formulas/mathematics/middle-school/x2jybi3c628buk9o28gofiqmjobqmcplll.png)
Substituting the values we get
![\cos 35 = (y)/(15)\\](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a793hicfmzxd90h9a59v3ymr9a0gtwm7lc.png)
![\therefore y =15* \cos 35\\\\\therefore y =15* 0.819\\\\\therefore y =12.2865\\\\\therefore y =12.3\ cm\ \textrm{Round to nearest tenth}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r8bs7s2r4871aj4ia90jyan985l1ovdsu4.png)
Therefore, y = 12.3 cm