Download MAP4C 1.2 Finding Angle Measures in Right Triangles

MAP4C
1.2 Finding Angle Measures in Right Triangles
Trigonometric ratios can be used to find unknown side-lengths and angles in right triangles.
In particular, any unknown angle can be found if we know the lengths of at least two sides.
Calculations
Your calculator must be in DEGREE mode. Locate the following buttons on your calculator:
or
are called inverse functions. We use these functions to find unknown angles.
Example 1:
a)
Example 2:
a)
Determine how your calculator input order works by solving the following:
b)
c)
Determine the unknown angle using trigonometric ratios.
b)
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Angle of Elevation
Angle of Depression
Example 3:
A private jet takes off from a runway. If the jet’s horizontal distance from its starting
point is
and its altitude reads
, calculate the jet’s angle of elevation
relative to its starting point.
Example 4:
A park ranger stands atop a
tall tower and notices a bear grazing on berries
away. Determine the angle of depression relative to the park ranger.
Homework: Text p. 17 #1, 3, 5, 6, 8, 11 – 13, 19.
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