Trigonometry Flashcards
A kite with a string of length 120 m is 96 m above the ground. Which of the following is the size of the angle that the string makes with the horizontal?
A) 37 degrees
B) 39 degrees
C) 51 degrees
D) 53 degrees
C
A 5.8 m ladder leaning against a wall makes an angle of 72 degrees with the ground. Calculate, correct to one decimal place:
A) The distance that the ladder reaches up the wall.
B) The distance between the foot of the ladder and the base of the wall.
A) 5.5 m
B) 1.8 m
A tree of height 15.3 m casts a shadow of 3.2 m along the ground. Calculate the angle of elevation of the sun, theta 0, to the nearest minute.
78 degrees 11’
A section of a roller-coaster ride has a 56 degree angle of depression. If the length of the section is 38 m, what is the length of its vertical drop, correct to one decimal place?
31.5 m
Aurellia walked for 7.2 km on a bearing of 204 degrees from base camp.
A) How far West is she from camp? Answer correct to one decimal place.
B) How far South is she from camp?
C) What is the bearing of the camp from her current position?
A) 2.9 km
B) 6.6 km
C) 024 degrees
A ship’s captain calculates that a lighthouse is 18.5 km due North of his ship. He sails due East for some time and calculates that the lighthouse is now on a bearing of 322 degrees from the ship.
A) Find the distance travelled by the ship, correct to one decimal place.
B) What is the time taken to travel this distance if the ship’s average speed is 48 km/h? Answer to the nearest minute.
A) 14.5 km
B) 18 min
A plane, P, tales off from an airport, A, at 10:15 a.m. and flies on a bearing of 150 degrees at a speed of 700 km/h.
A) How far due south of the airport, A, is the plane at 1:45 p.m.? Answer to the nearest kilometre.
B) What is the bearing of the airport from the plane then?
A) 2122 km
B) 330 degrees
In which quadrant (NE, SE, SW, NW) does each bearing lie?
A) 332 degrees B) 245 degrees C) 169 degrees D) 007 degrees E) 218 degrees F) 095 degrees
A) B) C) D) E) F)
