Use the figure shown to find the missing lengths of the triangle.

BC=15 ​in; find AC and AB.
(Round to the nearest thousandths)

show your work.

Use the figure shown to find the missing lengths of the triangleBC15 in find AC and ABRound to the nearest thousandthsshow your work class=

Respuesta :

can use right angle angle trigonometry as this is a right triangle

sine is opposite over hypotenuse

sin 60 = BC/AB because opposite to 60 is BC and the hypotenuse is AB.

rearrange for AB

sin 60 = BC/AB
AB sin 60 = BC
AB = BC / sin 60

we are given that BC = 15 in

AB = 15 / sin60
AB = 17.321 in (calculator

can use tangent of 60 degrees to find AC
tangent is opposite over adjacent so

tan(60) = BC / AC
AC tan 60 = BC
AC = BC / tan 60
AC = 15 / tan 60
AC = 8.660 in