Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Cotonou and Niamey are on the same line of longitude and Niamey is 7°N of Cotonou. If the radius of the earth is 6400 km, how far is Niamey North of Cotonou along the line of longitude in km, π = 22/7540km643km123km782km2. Starting from town X(45°N, 17°E), an airplane flies to town Y(45°N, 47°E) along the parallel of latitude and later to a third town Z(60°N, 47°E) along the meridian.(R = 6,370 km, π= 22/7). The distance between X and Y along the parallel of latitude in km, is5,005√3/ 25,0055,005√2/ 35,005√2/ 33. From the top of a 100m high building, a man observes the top of a tree at an angle of depression of 30°. If the tree is 50 m tall, the angle of depression of the foot of the tree as viewed by the man istan-1(√3/2)tan-1(2√3/2)tan-1(2√3)tan-1(√3)4. The value of 2cos 270° + sin 270° is0-11-25. If the shadow of a pole 7 m high is half of its length, what is the angle of elevation of the sun34°12°23°63°6. The value of sin(870°) is-√3/21/2-1/2√3/27. Given that sin θ = 4/5, the value of (1 - cos²θ) for 0°< θ < 90° is16/259/252/59/168. If 4 sin²θ - 3 = 0, the value of θ for 0° < θ < 90° is45 degrees30 degrees90 degrees60 degrees9. Two cities are both on longitude 55°E. If their latitudes are 5°S and 65°S and R = 6,400 km, their distance apart in km is6,400π / 36,400π3,200π / 322,400π / 910. From an observation point close to the edge of the sea, a ship is 14 km away on a bearing of 130°.A second ship is 48 km away on a bearing of 220º. The distance separating the ships is34 km50 km55 km62 km11. The diagonals of a rhombus are of lengths 10 cm and 24 cm.The length of each side of the rhombus is12 cm13 cm17 cm5 cm12. For any value of θ, the value ofis1cos²θsin²θ213. Two of the angles of a triangle are 120° and 45°. If the side facing the angle 45° is 10cm long,then the side facing the angle 120° is20 cm10√2 cm5√3 cm5√6 cm14. An aircraft flies from Jordan(30°S, 44°E) to Riyadh(30°S, 28°W) in 26/3 hours. If radius of the earth is 6,370 km, π = 22/7, and the plane flies along the parallel of latitude, its average speed, to the nearest kilometer is800 km/h620 km/h770 km/h462 km/h15. Points X and Y are respectively 48m North and 20m East of point Z. The distance /XY/ is60m68m52m44m16. If cos θ = √3/2, evaluate (3-2√3)/ 31/2√3/2 -1(√3-2)/ 317. A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of elevation pf the top of the tower to be 50°. What is the height of the tower?23m61.2 m12 m24.5 m18. If the radius of the earh is 6,370 km, the distance between two towns on latitudes 25°N and 20°S on the same meridian is (π = 22/7)5,005 km4,004 km3,185 km6,006 km19. Two locations on the parallel of latitude φ°S have a difference in longitude of θ°.If R = 6,370 km and π=22/7, the distance between the two locations in km, is approximately(222θ) cos φ°(111φ) cosθ°(111θ) cos φ°(56φ) cosθ°20. The bearing of a point P from an observer Q is S37°W. The bearing of Q from P isN 53° WS 53° WS 37° EN 37° E21. The angle of elevation of the top of a tower from an observer on the ground is 60°. If the top of the tower is 100 m away from the observer, how high is the tower?50 m173.2 m86.6 m200 m22. Two towns are θ° apart on the same meridian. If the earth's radius is 6,370 km π = 22/7, their distance apart in km is approximately111θ56θ167θ222θ23. Two towns P(θ°N, 7°E) and Q(θ°N, 29°W) are separated by a distance of 2,002 km, measured along the parallel of latitude. If R = 6,370 km and π = 22/7, the value of θ is45°30°60°90°24. If there is no stop-over at Dubai, and the average speed of the airplane is 500km/hr, the total time taken for the plane to fly from Lagos to Kuala Lumpur via Dubai is approximately8 h7 h5 h10 h25. The angle of elevation of the top of a tree from a point P and the ground is 30°. From a point Q, 10 m closer to the foot of the tree, the angle of elevation is 45°.How tall is the tree?5(√3 + 1) m5(√3 + 2) m10√2 m10√3 m26 out of 25Time is Up! Time's up