Math subject

Please help me with this

1. In any right triangle, what is the longest side?

11. In right triangle DEF, what is the measure of DF if DE = 6 cm and EF, = 8 cm? A. 10 cm B. 9 cm C. 8 cm D. 7 cm 12. Triangle AXE is a right- angled at X. If mZA = 550 and a= 37 cm, find the measure of x. A. 35 cm B.45 cm C. 55 cm D. 65 cm X a= 37 cm 13. What function is defined to be the ratio of the opposite side to the hypotenuse? A. sine B. secant C. cosine D. tangent 14. What function is the ratio of the opposite side to the adjacent side? A. sine B. secant C. cosine D. tangent 15. If a leg of a 450 -450 - 90 right triangle is 12 cm, what is the measure of its hypotenuse? A. H = 10V2 cm B. h =11v2 cm C. h=12v2 cm D. h = 13V2cm 16. If x = 450, then sec2 x + tan x is equal to A. 3 B. 2 C. 1 D. 1/2 Use the 450 - 450 - 90 right triangle below to answer problem #17 and 18. 450 C = 8 cm Leg =? 17. Tan 450 =? A. -1 B. O C. 1/2 D. 1 18. If the length of the hypotenuse of a 450 - 450 - 90 right triangle is 8 cm, find the measure of its leg A. Leg = 4VZ B. leg = 8V2 C. leg=12VZ D. leg=VZ 19. Determine the value of angle x when Sin x0 = 1/2 A. 900 B. 600 C. 450 D. 30 Use the given right triangle at the right to answer problem # 20 to 23. 600 X 3 20. Which of the following statements is NOT correct? A. Sin 60 = = B. Tan 60= "C. cos 60 = * 1 w D. Sin 600 = *21. Which of the following statements is correct? A. Sec 300 = = B. Tan 300 = C. Cos 30 = D. Sin 300 = 22. In Tan 300= 3, find the value of y. A. 2V3 B. 3V3 C. 3VZ D. VZ 23. Find x in Cos 600 = A. 14 B. 12 C.6 D.2 24. If a longer leg of a 30 - 600 - 90 right- triangle is 7 cm, what is the measure of its shorter leg? (Use Tan 300 = = A. 7v3 B 14V3 C 16V3 D. 20V3 2 25. What is the value of x2 450 X 6 450 A. 3 B. 3V2 C. 23 D. 6V2 26. The expression 2 (sin 300) - tan 450 is equal to A. 0 B. 1 C. 2 D. - 1 27. What is the value of sin 30? A . B. V2 C. V3 D. 1 28. What angle is formed by the horizontal line of sight and the line of sight to the object if the object is found below the horizontal line of sight? A. elevation B. inclination C. depression D. right 29. What is the imaginary line that connects the eye of an observer to the object being observed? A. Line of Sight C. Line of Depression B. Line of Elevation D. Line of Inclination Use the figure to answer items 27 - 28 30. What angle is illustrated by 0? A. elevation C. right B. depression D. inclination 31. Which imaginary line represents the line of sight? A . a B. b C. a and b a D. neither a nor b 32. Based on the figure, which one is the name of the angle of elevation? A . . . . . . .. . . . . . . . . . line of sight C horizontal A. LABC B. LBDC C. LDCB D. LDBA 33. From the figure above, what is the angle of depression? A. LABC B. LBDC C. LDCB D. LDBA34. An observer is looking at a bird found on the rooftop. An angle is formed which is inclined from the eye of the observer towards the bird. What do you call the angle formed. A. elevation B. inclination C. depression D. right 35. A tower is 15.24 m high. At a certain distance away from the tower, an observer determines that the angle of elevation to the top is 41. How far is the observer from the tower? A. 25.3 m B. 22.53 m C. 20.3 m D. 17.53 m 36. An observer from a 200-feet tall building sees the foot of a tree. The distance from the building and the tree is 100 ft. What is the angle of depression formed? A. 25.47 B. 26.57 C. 27.50 D. 26.65 37. From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28. How tall is the tower? A. 42.5 m B. 45.2 m C. 46.8 m D. 49.6 m 38. A singer is standing 150 feet away from her 280 feet billboard. What is the angle of elevation from her to the top of the billboard? A. 57.50 C. 61.8 C. 67.0 *D. 72.90 39. From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of the cliff is 34 . How far is the object from the base of the cliff? A. 58.6 m B. 59.3 m C. 61.2 m D. 65.9 m 40. Mark saw a flying kite at an angle of 70. What does the 70-degree angle represent? A. angle of elevation C. vertical angle B. angle of depression D. angle of inclinationName: Section: _ Date: Score: A. Multiples Choice. Directions: Read and analyze each item carefully. Write the letter of the correct answer on your answer sheets. 1. In any right triangle, what is the longest side? A. Adjacent B. base C. hypotenuse D. opposite 2. Determine the correct formula for tan ratio of