31. Given parallelogram ABCD with m∠A = 6x + 13 and m∠C = 8x – 29. What is m∠B? *
A. 41°
B. 42°
C. 136°
D. 138°
32. If the perimeter of an isosceles trapezoid is 191 cm and the bases are 63 cm and 49cm, how long is each leg? *
A. 112 cm
B. 96 cm
C. 82 cm
D. 41 cm
33. A cross section of a water trough is in the shape of a trapezoid with bases measuring 2 m and 6 m. What is the length of the median of this trapezoid? *
A. 2 m
B. 4 m
C. 5m
D. 8m
34. Which is NOT true about similar triangles? *
A. Similar triangles are not congruent.
B. The corresponding angles are congruent.
C. The corresponding sides are proportional.
D. Triangles similar to the same triangle are similar.
35. Identify the theorem that makes the following triangles similar. *
Captionless Image
A. SAA Similarity Theorem
B. SAS Similarity Theorem
C. SSA Similarity Theorem
D. SSS Similarity Theorem36. Identify the theorem that makes the following triangles similar. *
Captionless Image
A. SAA Similarity Theorem
B. SAS Similarity Theorem
C. SSA Similarity Theorem
D. SSS Similarity Theorem
37. A 12-ft ladder is placed 4 ft from the base of a wall. How far up the wall will the ladder reach? *
A. √2
B. 2√2
C. 6√2
D. 8√2
38. The base of a 13-ft ladder is placed 5 ft away from the wall. Find the height of the wall. *
A. 10 ft
B. 12 ft
C. 14 ft
D. 16 ft
39. In a right triangle, what is the ratio of the hypotenuse to the adjacent side? *
A. Cosecant
B. Cosine
C. Secant
D. Sine
40. If sin θ = 4/5, what is tan θ? *
A. 4/4
B. 4/3
C. 5/4
D. 5/341. In a right triangle DAM, If A = 90°, AD = 12 cm and AM = 5 cm, what is cos M? *
A. 5/13
B. 12/13
C. 13/12
D. 13/12
42. In right triangle SAY, if angle S = 75° and a = 18 cm, find y. *
A. 6.23 cm
B. 5.32 cm
C. 4.66 cm
D. 3.23 cm
43. In right triangle RST, if s = 15 cm and t = 9 cm, what is r? *
A. 6cm
B. 8cm
C. 10cm
D. 12cm
44. In the figure, find the value of x. *
Captionless Image
A. 10
B. 15
C. 20
D. 25
45. A hiker is hiking up a 20 degrees slope. If he hikes at a constant rate of 4 mph, how much altitude does he gain in 3 hours of hiking? *
A. 3.11 m
B. 4.10 m
C. 5.09 m
D. 6.08 m46. A 10-meter ladder leans against the wall of a house 6 m from the ground. How far is the foot of the ladder from the wall? *
A. 6 m
B. 8 m
C. 10 m
D. 12 m
47. The angle from the horizontal to the line of sight of the observer to the object above is _______. *
A. Angle of complexion
B. Angle of depression
C. Angle of elevation
D. None of the above
48. A right triangle can be solved when i. an acute angle and a side are known ii. two sides are known iii. two angles are known *
A. i only
B. i and ii only
C. ii and iii only
D. i, ii and iii
49. A ramp is pulled out of the back of truck. There is a 36 degrees angle between the ramp and the pavement. If the distance from the end of the ramp to the back of the truck is 18 feet. How long is the ramp? *
A. 22.55 ft
B. 22.45 ft
C. 22.35 ft
D. 22.25 ft
50. The angle of depression from the top of the light house to two ships lying along the same line on the east of the light house at a given instant are 20 & 50 degrees respectively. If the top of the light house is measured at 30 m above the sea level. What is the distance between the two ships at that instant? *
A. 26.13m
B. 25.96m
C. 24.83m
D. 22.17m
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