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49.
Let
x
represent the vertical change of the plane
after climbing at a constant angle of 3° for 60
ground miles.
tan3°
5
}
6
x
0
}
60tan3°
5
x
KEYSTROKES:
60
3
x
<
3.1
The plane is about 3.1
1
1 or 4.1 miles above
sea level.
50.
Let
x
represent the maximum height.
sin75°
¬
5
}
2
x
0
}
20sin75°
¬
5
x
KEYSTROKES:
20
75
x
<
19.32
The ladder can reach a maximum height of about
19.32 feet.
51.
Let
x
represent the distance from the base of the
ladder to the building.
cos75°
5
}
2
x
0
}
20cos75°
5
x
KEYSTROKES:
20
75
x
<
5.18
The base of the ladder is about 5.18 feet from the
building.
52.
Explore:
You know the coordinates of the vertices
of a right triangle and that
/
C
is the right angle.
You need to find the measure of one of the angles.
Plan:
Use the Distance Formula to find the
measure of each side. Then use one of the
trigonometric ratios to write an equation. Use the
inverse to find
m
/
J
.
Solve:
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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