Today’s Today’s Objective:Objective:

SWBAT SWBAT identify identify

special pairs special pairs of angles of angles

while making while making an astrolabe.an astrolabe.

HYPATIAHYPATIA

Is an early instrument for Is an early instrument for measuring the angle between measuring the angle between

the horizon and a star or the horizon and a star or planet.planet.

ASTROLABEASTROLABE

Complimentary Complimentary

<<‘s:‘s:

Two angles Two angles that have a that have a sum of 90sum of 90˚.˚.

CornerCorner

Supplementary Supplementary

<<‘s:‘s:

Two angles Two angles that have a that have a sum of 180sum of 180˚.˚.

Straight LineStraight Line

Today’s Today’s Objective:Objective:

SWBAT use the SWBAT use the tangent ratio to find tangent ratio to find the unknown side the unknown side lengths in lengths in right triangles.right triangles.

TANGENT RATIO:TANGENT RATIO:

Tan A = Tan A = oppositeopposite adjacent adjacent