3. Fasten your seatbelts A small plane takes off from an airport and rises at an angle of 6° with the horizontal ground. After it has traveled over a horizontal distance of 600m, what is the altitude of the plane to the nearest meter? x 800m 6°

4. Let x = the altitude of the plane as it travels 800m horizontally Since we have the values of an acute angle and its adjacent side, we will use x 800m 6° 800mx

5. Answer: The altitude of the plane after it has traveled over a horizontal distance of 800m is 84m.

6. Trigonometry and Bearings Bearing is an acute angle based off the North - South line. N 38º W

7. BEARING There are two methods for expressing bearing. When a single angle is given, it is understood that the bearing is measure in a clockwise direction from the north.

8. BEARING The second method for expressing bearing starts with a north-south line and uses an acute angle to show the direction, either east or west, from this line.

9. Example The bearing from A to C is S 52 o E. The bearing from A to B is N 84 o E. The bearing from B to C is S 38 o W. A plane flying at 250 mph takes 2.4 hours to go from A to B. Find the distance from A to C.

10. Solution Make a sketch. First draw the two bearings from point A. Then choose a point B on the bearing N 84 o E from A, and draw the bearing to C. Point C will be located where the bearing lines from A and B intersect. The distance from A to B is 250(2.4) = 600 miles.

11. A ship sailed from a port with a bearing of S22°E. How far south has the ship traveled after covering a distance of 327km? x 327km 22 °

12. find a hypotenuse of a larger triangle. To find the distance. 14 knots x 3 hours = 42 14 knots x 1 hour = 14

13. A ladder on a fire truck can be turned to a maximum angle of 70° and can be extended to a maximum length of 25m. If the base of the ladder is mounted on the fire truck 2m above the ground, how high above the ground will the ladder reach? 2m 25 m 70°

14. From the tip of a shadow by the vertical object such as a tree, the angle of elevation of the top of the object is the same as the angle of elevation of the sun. What is the angle of elevation of the sun if a 7m tall tree casts a shadow of 18m? Θ 7m 18m

15. A plane is flying at an altitude of 1.5km. The pilot wants to descend into an airport so that the path of the plane makes an angle of 5° with the ground. How far from the airport (horizontal distance) should the descent begin? 1.5km 5°5° x