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Find values for x, y, and z in each problem - PowerPoint PPT Presentation


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Chapter 7 Extra Credit Assignment Name: ____________________. 14. 45 °. 3. 4. y °. z. 28. x. x. y °. 30 °. z. 12. y °. y °. 6. 5. 16. 19. z. 57 °. x °. x.

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Chapter 7 Extra Credit Assignment Name: ____________________

14

45°

3.

4.

z

28

x

x

30°

z

12

6.

5.

16

19

z

57°

x

1. The sin 45° is ______ 2. The cos-1 (10/22) is ______°

Find values for x, y, and z in each problem

x = ____, y = ____º, z = ____

x = ____, y = ____º, z = ____

x = ____, y = ____º,

x = ____, y = ____º, z = ____

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z

8.

7.

z

31

9

15

43

x

9.

60°

10.

26

x

z

38

33°

x = ____, y = ____º, z = ____

x = ____, y = ____º, z = ____

z

x = ____, y = ____º, z = ____

x = ____, y = ____º, z = ____

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Solve each problem. Round measures of segments to the nearest tenth and measures of angles to the nearest degree.

11. From the top of a tower, the angle of depression to a stake on the ground is

72 degrees. The top of the tower is 80 feet above ground. How far is the stake

from the foot of the tower?

12. A tree 40 feet high casts a shadow 58 feet long. Find the measure of the

angle of elevation of the sun.

13. A ladder leaning against a house makes an angle of 60 degrees with the

ground. The foot of the ladder is 7 feet from the foot of the house. How long is

the ladder?

14. A balloon on a 40 foot string makes an angle of 50 degrees with the ground.

How high above the ground is the balloon if the hand of the person holding the

balloon is 6 feet above the ground?

15. A 20 foot ladder leans against a wall so that the base of the ladder is 8 feetfrom the base of the building. What angle does the ladder make with the ground?

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16. A 50 meter vertical tower is braced with a cable secured at the top of the

tower and tied 30 meters from the base. What angle does the cable form with the

vertical tower?

17. At a point on the ground 50 feet from the foot of a tree, the angle of

elevation to the top of the tree is 53 degrees. Find the height of the tree.

18. From the top of a lighthouse 210 feet high, the angle of depression of a boat

is 27 degrees. Find the distance from the boat to the foot of the lighthouse if

the lighthouse is at sea level.

19, Richard is flying a kite. The kite string makes an angle of 57 degrees with

the ground. If Richard is standing 100 feet from the point on the ground

directly below the kite, find the length of the kite string.

20. An airplane rises vertically 1000 feet over a horizontal distance of 1 mile. What is the angle of elevation of the airplane's path?