Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. 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? 24.5 m 12 m 23m 61.2 m 2. 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? 86.6 m 50 m 173.2 m 200 m 3. 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 is 60° 30° 45° 90° 4. 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 approximately 286° 319° 041° 221° 5. 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 P 42.4 km 30 km 25.2 km 38.6 km 6. The bearing of a point P from a point Q is 065°. What is the bearing of Q from P? 245° 115° 295° 155° 7. The value of (sin35°/cos 55°) + (cos 15°/ sin 75°) is 1 0 -2 2 8. An inelastic string of length 1.0 m anchored to a point X has a stone tied to the end Y.How high does the stone rise when the string XY is inclined at 30° to the original vertical position? 0.866 m 1/2 m 1.155 m 0.134 m 9. 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 approximately 222θ 111θ 56θ 167θ 10. cos 65° is equal to sin 115° cos 115° cos 295° cos 245° 11. Simplify the expression can be simplified to cosθ 1-sinθ sinθ/(1-cosθ) (1+cosθ)/ sinθ 12. A young man 1.7 m tall, while standing, measures the angle of elevation of the top of a pole as 40°. If he is 15 m from the pole, what is the height of the pole? 9 m 14.3 m 12.5 m 20.2 m 13. If cos θ = 4/5, then for 0° < θ < 90°, tanθ is equal to 5/4 5/3 3/4 4/3 14. 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 is 22,400π / 9 6,400π 3,200π / 3 6,400π / 3 15. 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° 50° 90° 45° 16. The value of 2cos 270° + sin 270° is -1 1 -2 0 17. Which of the following have the same value as sin 15°?I. sin 165°II. sin 285°III. sin (-15°)IV. sin (-195°) I and IV only III and IV only I and III only I and II only 18. 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° is 5√3 cm 20 cm 5√6 cm 10√2 cm 19. sin 38° has the same value as sin 218 cos 308 sin (-38) sin 128 20. The two perpendicular sides of a right-angled triangle are 9 cm and 12 cm in length. The smallest angle of the triangle is 36 degrees 36.9 degrees 30 degrees 53.1 degrees 21. For any value of θ, the value ofis 2 cos²θ 1 sin²θ 22. X and Y are two lakes on the earth's surface. X has a latitude 34°N and Y has latitude 15°S. If the lakes are on the same meridian ,calculate the distance between them along the meridian(Take 2πR = 40,000 km) 5440km 23km 540km 54km 23. 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 approximately 7 h 8 h 10 h 5 h 24. A tree on the bank of a river is 24 m tall. If the angle of depression of a point on the opposite bank of the river is 30°, the width of the river is 12 m 41.569 m 24 m 13.856 m 25. Each of two angles of an isosceles triangle is 30° and the longest side of the triangle is 9 cm. Each of the other sides is of length 3√2 cm 9√2/2 cm 3√3 cm 9/2 cm 1 out of 25 Time is Up! Time's up