• Solve for the variables

• Simplify

Warm Up3/10/13

x

yy

Agenda

• Warm Up• Homework Check• Review Trigonometry• Angles of Elevation and Depression

Homework Check1) 2) 3)

4)

5) 6) 7)8)

9)

Homework Check

1. 2. 2.3. 4.

5. 6.5.

6) 9)

15)

Trigonometry Review

To Solve for Sides To Solve for Angles

Today’s Objective

Students will apply Angles of Depression and Elevation to solve word problems.

Angle of Depression

The Angle of Depression is

the angle from the “sky to the

line”

Angle of Elevation

The Angle of Elevation is the angle from the “ground to the line”

Suppose an operator at the top of a lighthouse sights a sailboat at a 2o angle of depression.

If the top of the lighthouse is 25m above sea level, what is the distance x between the boat and the operator in the lighthouse to the nearest integer?

25x

Claim: angle of depression = angle of elevation

• Why?

ALWAYS DRAW A PICTURE!!!

The angle of elevation from point A to the top of a cliff is 38*. If point A is 80 feet from the base of the cliff, how high is the cliff?

2. From the top of a tower, the angle of depression to a stake on the ground is 72*. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower?

3. A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation of the sun.

4. A ladder leaning against a house makes an angle of 60* with the ground. The foot of the ladder is 7 feet from the foundation of the house. How long is the ladder?

5. A kite on a 40-foot string makes a 50* angle with the ground. How high above the ground is the kite?

Classwork/Homework

• Angles of Depression/Elevation Worksheet