Question

Find the distance from point B to point C.Enter as a decimal rounded to the nearest tenth.58°BC = [?] mi6 miB00

Answer 1

Answer:

BC = 9.6 mi

Step-by-step explanation:

Given:

AB = 6mi

angle A = 58°

To find:

the value of BC

To determine the value of BC, we will apply tan ratio (TOA):

`tan\text{ 58\degree = }(opposite)/(adjacent)`

opposite = BC

adjacent = 6 mi

`\begin{gathered} tan\text{ 58\degree = }(BC)/(6) \\ BC\text{ = 6\lparen tan 58\degree\rparen} \end{gathered}`
`\begin{gathered} BC\text{ = 6 }*\text{ 1.6003} \\ BC=\text{ 9.602} \\ To\text{ the nearest tenth, BC = 9.6 mi} \end{gathered}`