1) A kite is flying 115 ft above the ground. The length of the string to the kite is 150 ft, measured from the ground. Find the angle to its nearest degree that the string makes with the ground. a) 50 degrees b) 45 degrees c) 55 degrees d) 40 degrees 2) An observer is 120 feet from the base of a television tower, which is 150 feet tall. Find its nearest degree of the top of the tower from the point where the observer is standing. a) 35.52 degrees b) 52.35 degrees c) 34.51 degrees d) 51.34 degrees 3) At a point 30 feet from the base of a tree, the angle formed with the ground looking to the top measures 53 degrees. Find the angle of the tree from its nearest foot. a) 34.8 degrees b) 33.7 degrees c) 35.8 degrees d) 32.7 degrees 4) At 10:00 am, a person observes a hot air balloon climbing vertically in the air from a point 300 meters away from the launch pad for the balloon. The angle of elevation to the top of the balloon at this time is 25 degrees. At 10:02 am, the person observes that the angle of elevation to the balloon is now 60 degrees. What is the change in altitude, to the nearest meter, for the balloon over the 2 minutes between the first and second observations? a) 380.8 degrees b) 379.8 degrees c) 377.8 degrees d) 381.8 degrees 5) A ladder, 500 cm long, leans against a building. If the angle between the ground and the ladder is 57 degrees, how far from the wall is the bottom of the ladder? a) 270.3 degrees b) 275.3 degrees c) 272.3 degrees d) 273.3 degrees

DIFFICULT ROUND - REAL LIFE WORD PROBLEMS INVOLVING TRIGONOMETRIC RATIOS

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