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Day 7: Angles of
Depression and Elevation
Unit 5 – Trigonometric Functions
Warm
Up
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Find the missing side length
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Find the missing angle
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Homework Check
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Today’s Objective
 Students
will define and apply Angles of
Depression and Elevation to solve word
problems.
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Angle of Elevation
The
angle of elevation is the angle
formed by a horizontal line (ground)
and the line of sight looking up.
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Angle of Depression
The
angle of elevation is the angle
formed by a horizontal line (sky) and
the line of sight looking down.
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Angle of Depression
The Angle of
Depression is
the angle from
the “sky to the
line”
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Notice
… the angle of elevation and
the angle of depression are congruent
angles when in the same picture!
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Suppose an operator at the top of a lighthouse
sights a sailboat on a line that makes a 2o angle
with the horizontal line.
If the top of the lighthouse is 25m above sea level,
what is the distance x between the boat and the
base of the lighthouse to the nearest integer?
angle of depression 2o
25
2o angle of elevation
x
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ALWAYS DRAW A PICTURE!!!
The angle of elevation from point A to the top
of a cliff is 38º. If point A is 80 feet from the
base of the cliff, how high is the cliff?
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2. From the top of a tower, the angle of
depression to a stake on the ground is 72º.
The top of the tower is 80 feet above
ground. How far is the stake from the foot of
the tower?
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3. A tree 40 feet high casts a shadow 58
feet long. Find the measure of the
angle of elevation of the sun.
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4. A ladder leaning against a house
makes an angle of 60º with the
ground. The foot of the ladder is 7
feet from the foundation of the house.
How long is the ladder?
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5. A kite on a 40-foot string makes a 50º angle
with the ground. How high above the
ground is the kite?
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Independent Practice
 Angles
of Depressions and Elevation
worksheet