Warm Up

1. Find the trig ratios for <A and <B.

2. Let (-8, 2) be a point on the terminal side of angle M. Write the 3 trig ratios.

More Trig!

Three Trig Ratios

Give the 3 trig ratios without a calculator

Sin(D)=Cos(D)=Tan(D)=

D 4√27

Missing Side Lengths

Of the sides given (this includes variables), label them as opposite, adjacent, or hypotenuse in reference to the acute angle given.

What trig ratio can you make with these two sides?

Set up the ratio. Solve for your variable.

Missing Side Lengths

Solve for all missing sides

Missing Angle Measures

Of the sides given (this includes variables), label them as opposite, adjacent, or hypotenuse in reference to the acute angle we are solving for.

What trig ratio can you make with these two sides?

Set up the ratio. Solve for your variable.

Missing Angle Measures

Solve for m<T

Solve for the missing angle x.

Solve for the variables

Angle of Elevation/Angle of Depression

Line of Sight- horizontal line from the starting point

Angle of Elevation- angle formed from the line of sight UP to a point

Angle of Depression- angle formed from the line of sight DOWN to a point

Label each angle as elevation or depression

You are working the night shift at the lighthouse. Suddenly you notice a fire in the distance! If you are 60 m above ground and you are looking at an angle of depression of 18˚. Find the distance between you and the fire.

The world’s tallest unsupported flagpole is a 282-ft-tall steel pole in Surrey, British Columbia. The shortest shadow cast by the pole during the year is 137 ft long. To the nearest degree,

what is the angle of elevation of the sun when casting the flagpole’s shortest shadow?

Homework

Worksheet