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WorksheetsSOLVING TRIGINOMETRIC PROBLEMS (EVALUATION)
Total questions: 10
Worksheet time: 7mins
For nos. 1-2: An airplane spots an airport at an angle of depression 36°. If the actual distance between the airplane and the airport is 300 ft, what is the altitude of the airplane? 1. Which equation should be used to solve the problem?
For nos. 1-2: An airplane spots an airport at an angle of depression 36°. If the actual distance between the airplane and the airport is 300 ft, what is the altitude of the airplane?
x = 412.91 feet
x = 217.96 feet
x = 176.34 feet
x = 242.71 feet
For 3 - 5. A 10-m ladder rests against the wall of a house. The foot of the ladder on the ground is 1.3 meters from the wall. What angle does the ladder make with the ground? 3. Which equation should be used to solve the problem?
For 3 - 5. A 10-m ladder rests against the wall of a house. The foot of the ladder on the ground is 1.3 meters from the wall. 4. What angle does the ladder make with the ground?
x = 82.53°
x = 82.59°
x = 7.47°
x = 7.41°
For 3 - 5. A 10-m ladder rests against the wall of a house. The foot of the ladder on the ground is 1.3 meters from the wall. 5. Which side of the triangle is represented by the wall of the house?
A. adjacent side
B. hypotenuse
C. opposite side
D. transversal side
6. A slope is inclined at a certain angle to the horizontal. A car moves 500 meters up the slope and its horizontal distance covered by the car is 494.5 meters. What is the angle of elevation of the slope?
A. 8.49°
B. 8.50°
C. 8.51°
D. 9.00°
For 7 to 9 Grant is flying a kite on the end of a string that is 350 feet long. The angle elevation from Grant to the kite is 74°. How high above the ground is the kite? 7. Which function should be used to solve the problem?
A. Sine
B. Cosine
C. Cosecant
D. Tangent
For 7 to 9 Grant is flying a kite on the end of a string that is 350 feet long. The angle elevation from Grant to the kite is 74°. How high above the ground is the kite? 8. What operation should be used to simplify the equation?
A. add
B. subtract
C. multiply
D. divide
For 7 to 9 Grant is flying a kite on the end of a string that is 350 feet long. The angle elevation from Grant to the kite is 74°. 9. How high above the ground is the kite?
A. 336.44 feet
B. 295.61 feet
C. 141.20 feet
D. 96.50 feet
10. The castle in an amusement park is 190 feet tall. She sights the top of the castle at an angle of elevation of 38°. Find the distance from the girl to the tallest part of the castle if she is 5.5 feet tall. Is the diagram correct?
A. No, the girl is 7.04 feet away from the castle.
B. No, the girl is 236.12 feet away from the castle.
C. Yes, the girl is 243.19 feet away from the castle.
D. Yes, the girl is 250.23 feet away from the castle.
