Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. A rhombus has a side of length 5cm. If one of the angles of the rhombus is 60°, the longer diagonal is of length10√3/3 cm5√3 cm5√2 cm10 cm2. Simplify the expression can be simplified tocosθ(1+cosθ)/ sinθsinθ/(1-cosθ)1-sinθ3. 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 is50 km55 km62 km34 km4. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is45 degrees30 degrees90 degrees60 degrees5. Three cities Cape Town, Prague and Tbilisi are such that Prague is located 50 km away from Cape Town on a bearing of 065°.Tbilisi is 100 km away from Cape Town on a bearing of 305°. The bearing of Tbilisi from Prague is approximately286°221°319°041°6. 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(56φ) cosθ°(111θ) cos φ°(111φ) cosθ°(222θ) cos φ°7. Amanda walks 30 m from a point P on a bearing of 040º to a point Q. She then walks 30 m on a bearing of 140º to a point R. What is her bearing from P to R?40°45°90°50°8. 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)4,004 km3,185 km6,006 km5,005 km9. A ladder resting against a vertical wall makes an angle tan-¹(2.4) with the ground. If the foot of the ladder is 1 m from the wall, what is the length of the ladder?2.6 m2.4 m1 m5.2 m10. The values of θ for whichsin θ = cos θ are within the range 0° < θ < 360°45° and 135°45° and 315°135° and 225°45° and 225°11. If sinθ = 1/2 and 0° < θ < π/2, evaluate√3/24√3√3/44/√312. The bearing of N75°W can also be expressed as285°225°165°075°13. 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√2 km50√7 km50√3 km50√5 km14. The bearing of a point P from a point Q is 065°. What is the bearing of Q from P?115°295°155°245°15. In a triangle PQR, <PQR = 60°, PQ = 3 cm and QR = 4 cm. Find |PR|2√3 cm√13 cm5 cm2√5 cm16. 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?4.33 m5 m5/2 m7.07 m17. An observer on the ground views an airplane of altitude 1,000 m at an angle of elevation of 30°. How far is the plane from the observer?1154.7 m1,000 m500 m2,000 m18. Two locations on the equator are on longitudes 20°W and 70°E respectively. If R = 6,370 km and π = 22/7, their distance apart along the equator, correct to 2 significant figures is15,000 km5,600 km10,000 km11,000 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 circumference of the parallel of latitude in km, is6,370 cos φ°20,020 cos θ°6,370 cos θ°40,040 cos φ°20. Toronto is on a bearing of 225°from Georgia. Texas is directly North of Toronto and directly West of Georgia. If Texas is located 20 km away from Georgia, how far is Toronto from Georgia20 km40 km20√2 km30 km21. If cos θ > 0 and sin θ < 0, then90° < θ < 180°0° < θ < 90°180° < θ < 270°270°< θ < 360°22. 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° is10√2 cm20 cm5√3 cm5√6 cm23. The bearing of a point P from an observer Q is S37°W. The bearing of Q from P isS 37° EN 37° EN 53° WS 53° W24. Two cities London and Lagos are on latitude 60°N and their longitudes are 17°W and 28°E respectively. If R = 6,370 km and π = 22/7, the distance between London and Lagos, measured along the parallel of latitude is4,718.8 km2,502.5 km5, 005.0 km2,359.4 km25. A girl walks 30 m from a point P on a bearing of 040º to a point Q. She then walks 30 m on a bearing of 140º to a point R. How far is R from P42.4 km38.6 km30 km25.2 km26 out of 25Time is Up!