1. Warm Up
Label each leg opposite, adjacent or hypotenuse. Write the formula and solve for each missing side to the nearest tenth. 𝑦
32° 𝑥 8
40° 4
54° 𝑧 6

2. Homework
1) 9.18 cm 2) 8.69 m 3) km 4) 21.5 mm 5) cm 6) m 7) 3 3 ≈5.20 km 8) 2.86 mm 9) cm 10) cm 11) km 12) cm

3. Notes
When solving for angles, use the inverse function. Looks like sin −1 (𝑥) . Labeling your sides first may help! 24 8 𝑦

4. Notes
When solving for angles, use the inverse function. Labeling your sides first may help! 3 𝑥 7

5. Notes
When solving for angles, use the inverse function. Labeling your sides first may help! 5 9 𝜃

6. Notes
When solving for angles, use the inverse function. 12 𝑡 𝑦 16 4 13

7. Notes
When solving for angles, use the inverse function. You try! 12 16 4 𝜃 13 𝑥

8. Notes
When solving for angles, use the inverse function. 2 𝑡 𝑥 5 7 9

9. Notes
When solving for angles, use the inverse function. You try! 2 5 7 𝑦 𝜃 9

10. Notes
The Tsing Ma bridge in Hong Kong, China spans 4518’ (feet) and is 203’ above the water. The suspension cables reach up to the top of a 676’ tower, and each tower is on an island 390 ft from the land. What is the angle the suspension cables make with the bridge?
tan − =50.5 °

11. Use trig functions to determine the length of the suspension cables.
Notes
Use trig functions to determine the length of the suspension cables.
(Yes, this could be done with Pythagorean theorem. You can check your answer that way.)
sin 50.5 = 472 ℎ →ℎ=611.7′