Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Three cities London, Seoul and Harare are such that Seoul is located 50 km away from London on a bearing of 065°. Harare is 100 km away from London on a bearing of 305°. The distance between Seoul and Harare is50√7 km50√5 km50√2 km50√3 km2. 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) m10√3 m10√2 m5(√3 + 2) m3. The value of sin(870°) is√3/2-1/2-√3/21/24. The difference in longitude betweenP(55°N, 12°W) and Q(15°S, 65°W) is40°77°70°53°5. A hunter on the ground observes a bird perching on a tree on a bearing of S15°W. The bearing of the hunter from the bird isN75°EN15°WN75°WN15°E6. A right-angled triangle has sides of lengths (3m-1) cm, (m) cm and (3m+1) cm. The value of m is1261827. If the bearing of New York from Kansas city is 125°, the bearing of Kansas city from New York is?55°215°235°305°8. Given that sin θ = 4/5, the value of (1 - cos²θ) for 0°< θ < 90° is16/259/252/59/169. If cos θ = √3/2, evaluate 1/2(3-2√3)/ 3√3/2 -1(√3-2)/ 310. If sin θ = a/b, where θ is an acute angle,then cot θ equalsa/ √(b²-a²)√(b+a)(b-a)/ a√(b²-a²)/ b√(b/ b²-a²)11. 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 is90°30°45°60°12. The value of1 + sec²60° is422 1/3513. The value of (sin35°/cos 55°) + (cos 15°/ sin 75°) is1-22014. If sin-¹(0.966) = 75°, then sin-¹(-0.966) equals195 or 285 degrees105 or 255 degrees255 or 285 degrees75 or 105 degrees15. 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° is5√6 cm5√3 cm20 cm10√2 cm16. If cos θ > 0 and sin θ < 0, then180° < θ < 270°270°< θ < 360°90° < θ < 180°0° < θ < 90°17. An isosceles triangle of sides 65 mm, 65 mm and 50 mm is inscribed in a circle. The radius of the circle is60 mm35 mm40 mm35.21 mm18. Given that cos²θ - sin²θ = 1/8, find the value of tan θ3/√7√73√7√7/319. 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?173.2 m200 m86.6 m50 m20. If the shadow of a pole 7 m high is half of its length, what is the angle of elevation of the sun12°34°63°23°21. The angle of depression of a boat from the midpoint of a vertical cliff is 35°. If the boat is 120 m from the foot of the cliff, calculate the height of the cliff.16.8 m1.74 m174 m168 m22. Points X and Y are respectively 48m North and 20m East of point Z, The bearing of X and Y is approximately337°067°157°247°23. If the radius of the earth is 6,370 km, the distance between two towns on latitudes 25°N and 20°S on the same meridian is (π = 22/7)6,006 km3,185 km5,005 km4,004 km24. An airplane flies 100 km on a bearing of 330° and then flies 300 km due West. How far West of the starting point is the plane?300 km350 km200 km400 km25. A ladder of length 5m rests against a vertical wall and makes an angle 30° with the wall. How far is the foot of the ladder from the wall?7.07 m4.33 m5/2 m5 m26 out of 25Time is Up!