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Geometry
Solving For Angles in a Right Triangle
When you know the sides of a right triangle and need to find the angles, you must use
the__________________ of the ratios.
Example:  A is an acute angle. Use the calculator to approximate the measure of  A.
Round to one decimal place.
1) sin A = 0.24
2) tan A=1.73
3) cos A= 0.62
Example: Find the measure of angle A and C.
To find angle A:
To find angle C:
Write, DO NOT SOLVE, an inverse trig ratio for angle A.
a.
b.
c.
d.
4) sin A = 0.08
EXAMPLES: Find both missing angles. Round to one decimal place.
1)
2)
3)
4)
4)
Solving Right Triangles: To find all the missing _____________ and _____________.
EXAMPLES: Solve the triangle. Round to the nearest tenth, if needed.
1.
2.
3.
5.
4.
6.
WORD PROBLEMS: Draw a picture to help you!
7. You lean a 16ft. ladder against the wall. If the base is 4 feet from the wall, what
angle does the ladder make with the ground?
8. A sonar operator on a ship detects a submarine at a distance of 250 meters and an
angle of depression of 35 . How deep is the submarine?