Geometry Worksheet Page 3

30. Skyscraper You are a block away from a skyscraper that is 780 feet tall. Your

friend is between the skyscraper and yourself. The angle of elevation from your

position to the top of the skyscraper is 42°. The angle of elevation from your friend’s

position to the top of the skyscraper is 71°. To the nearest foot, how far are you from

your friend?

Use a cosine or sine ratio to find the value of each variable. Round decimals to the nearest tenth.

31.

32.

33.

34.

35.

36.

Use the 45°-45°-90° Triangle Theorem or the 30°-60°-90° Triangle Theorem to find the sine and cosine of the

angle.

37. a 30° angle

38. a 45° angle

39. a 60° angle

40. Airplane Landing You are preparing to land an airplane. You are on a straight line approach path that

forms a 3° vertical angle with the runway. What is the distance d along this approach path to your

touchdown point when you are 500 feet above the ground? Round your answer to the nearest foot.

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