1. Hw questions?

2. Ch 4.8
Applications

3. Warm Up 4.8
A zip line steel cable is being constructed for a reality tv show. The high end of the zip-line is attached to the top of a 50 foot pole, while the lower end of the zip-line is anchored at ground level to a stake 50 feet from the base of the pole. 1) What is the length of the zip-line? 2) What is the angle of elevation of the zip line?

4. Partner Check-In
Compare the way you and your partner solved the Warm Up. Can you think of another way to solve this problem?

5. Trig Foldable

8. EX 1
A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department’s longest ladder is 110 feet. What is the maximum safe rescue height?

9. EX 2: Finding a side of a right triangle
At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is 35⁰, and the angle of elevation to the top is 53⁰, as shown. Find the heights of the smokestack alone.
We have two right triangles in this problem.
-The smaller right triangle helps us find the
height of the building.
-The larger right triangle tells us the height
of the smokestack and the building together
To find just the height of the smokestack, subtract:

10. Trig Applications Ex 2
A global positioning system satellite orbits 12,500 miles above Earth’s surface (as shown in the figure). Find the angle of depression from the satellite to the horizon. Assume the radius of the earth is 4000 miles.

11. Trig Gallery Worksheet
#1-4

12. Trigonometry and Bearings

13. EX 3: A ship leaves port at noon and heads due west at 20 knots, or 20 nautical miles (nm) per hour. At 2pm, the ship changes course to N 54ᴼ W. Find the ships bearing and distance from the port of departure at 3pm.
So we are looking for c and angle A.
To find angle A, we need to find two sides of a right triangle. Start with trying to find b and d.

14. Trig Gallery Worksheet
#6-7

16. Next Day Present on HW problems