1. Warm-Up Find the value of x and y using special right triangles. y x
Find the value of each variable using trig functions. y x 30 6 9 x y 70

2. Chapter 9 Right Triangles and Trigonometry
Section 9.6
Solving Right Triangles
SOLVE RIGHT TRIANGLES
USE RIGHT TRIANGLES TO SOLVE REAL LIFE PROBLEMS

3. SOLVE RIGHT TRIANGLES
Solving Right Triangles
CONCEPT
SUMMARY
To Solve A Right Triangle: Determine the measure of all three angles and the length of all three sides. a C B b c
Three Angles
A, B, C
Three Sides
a, b, c

4. Solving a Right Triangle Given 1 Side, 1 Angle
SOLVE RIGHT TRIANGLES
Solving a Right Triangle Given 1 Side, 1 Angle
X & Y are Complements
mX + mY =90
71 + mY =90
mY = 19

5. Solving a Right Triangle Given 1 Side, 1 Angle
SOLVE RIGHT TRIANGLES
Solving a Right Triangle Given 1 Side, 1 Angle
Find AB, AC, mA

6. Solving a Right Triangle Given 1 Side, 1 Angle
SOLVE RIGHT TRIANGLES
Solving a Right Triangle Given 1 Side, 1 Angle

7. Solving a Right Triangle Given 2 Sides
SOLVE RIGHT TRIANGLES
Solving a Right Triangle Given 2 Sides

8. Solving a Right Triangle Given 2 Sides
SOLVE RIGHT TRIANGLES
Solving a Right Triangle Given 2 Sides

9. Solving a Right Triangle Given 2 Sides
SOLVE RIGHT TRIANGLES
Solving a Right Triangle Given 2 Sides

10. Use right triangles to solve real life problems
CIRCUS ACTS At the circus, a person in the audience watches the high-wire routine. A 5-foot-6-inch tall acrobat is standing on a platform that is 25 feet off the ground. How far is the audience member from the base of the platform, if the angle of elevation from the audience member’s line of sight to the top of the acrobat is 27°.

11. Use right triangles to solve real life problems
A wheelchair ramp is 3 meters long and inclines at 6°. Find the height of the ramp to the nearest tenth centimeter.

12. Use right triangles to solve real life problems
A roller coaster car is at one of its highest points. It drops at a 63° angle for 320 feet. How high was the roller coaster car to the nearest foot before it began its fall?