7 5 trig angles of elev and depress

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Transcript of 7 5 trig angles of elev and depress

ANGLES OF ELEVATIONANGLES OF ELEVATIONAND DEPRESSIONAND DEPRESSION

Jim Smith JCHS

Section 7-5 spi.3.1.B

Angles Of Elevation And Depression Must Have One Horizontal Side.

Elevation

Depression

A

B

C

ACB Is An Angle Of Elevation.DBC Is An Angle Of Depression.

ABC Is Not An Angle Of Depression!

D

Name The Angles Of ElevationAnd Depression

1

23

4

5

6

Depression

Elevation

Elevation

Depression

Depression

Elevation

These Angles AreAlternate Interior Angles…

They’re Congruent

A Skydiver Jumps From A Plane. When He Lands, The Angle Of Elevation From The Ground To The Plane Is 51°. If The

Plane Maintains An Altitude Of 4000 Feet , What Is TheStraight Line Distance From The Skydiver To The Plane?

4000

51°

X

3.5147

40007771.

4000

1

7771.

400051sin

x

xx

x

A Tree Casts A Shadow 87 Feet Long. A Tree Casts A Shadow 87 Feet Long. If The Angle Of Elevation From The If The Angle Of Elevation From The

Ground To The Top Of The Tree Ground To The Top Of The Tree Is 50Is 50°, Find The Height Of The Tree.°, Find The Height Of The Tree.

50°87

x

feet7.103871

1917.187

50tan

x

x

x

If The Kite Is 100 Feet High And The Angle Of Depression From The Kite To Wiley Is 39°, Find The Distance AlongThe String The Lightening Must Travel

To Reach The Key. Wiley Is Holding The String 4 Feet Off The Ground.

4

96

39

x

39

feet6.15646.152

6.152

96

1

6293.

9639sin

xx

x