Transcript Right Triangle Trigonometry

Right Triangle Trigonometry
SOH-CAH-TOA
Aligning the Variables….
• Capital Letters refer to _________.
• Lower-case letters refer to ________.
Example 1
• If a = 20 and A  35 and B  90 ,solve the
triangle.
Example 2
• The safety instructions for a 20 foot ladder indicate
that the ladder should not be inclined more that a 70
angle with the ground. How far should the ladder be
placed from the wall to reach its maximum height?
What is the maximum height?
Angle of Elevation or Descent
SOH-CAH-TOA Word Problems
Example 3 – Angle of Elevation
• Angle of Elevation is the angle at which an observer
looks up to see an object
• A man standing 100m from a tower looks up at a 78
degree angle and views the top of the tower. How
tall is the tower?
Example 4 – Angle of Descent
• Angle of Descent is the angle at which an observer
looks down to see an object
• An airplane’s ground distance from an airport is 60
miles. If it is flying at an altitude of 4 miles, what
angle should it descend at to get to the airport?
Example 5 – Geometry Problems
• A rhombus with perimeter 40cm has a 70 degree
angle. Find the length of its diagonals.
Practice
• Pg. 334 (1 – 7odd, 13 – 17 odd)