Answer:
BC=15.01
Explanation:
Line segment BC can also be represented by '?'. To solve for BC, find the value of '?'
Use the tangent ratio:
![tangentX=(opposite)/(adjacent)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8b5rhcfzad6vkze20afcdmnn0pshcxpi7g.png)
Because you need the value opposite the given angle and you are given the length of the side adjacent the given angle (hypotenuse does not count as the adjacent side, EVER (btw)). Let 65° be X and let x replace'?'.Insert the appropriate values:
![tan65=(x)/(7)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lo1htbc29licacvlss9d7tqj42817iqj94.png)
Solve by isolating x. Multiply 7 to both sides:
![7*(tan65)=7*((x)/(7))\\\\7*tan65=x\\\\x=7*tan65](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yyxcgdy6tnk3p1ytbaqywlxg3lmnhofiwp.png)
Insert this equation into a calculator:
![x=15.0115...](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mxp8ix934ur10gynib5x6gbuzod0x5jrxb.png)
Round to the nearest hundredth:
![x=15.01](https://img.qammunity.org/2021/formulas/mathematics/middle-school/58ye0ca5idfirqrno0ev3iodvxvqu8v4ss.png)
So, BC is 15.01
Finito.