InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A man finds the angle of elevation of the top of a tower to be 30°. He walks 85 m nearer the tower and finds its angle of elevation to be 60°. What is the height of the tower? |
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Answer» 73.61 m 73.61 m |
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| 52. |
A pole cast a shadow 15 m long when the angle of elevation of the sun is 61°. If the pole is leaned 15° from the vertical directly towards the sun, determine the length of the pole. |
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Answer» 54.23 m 54.23 m |
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| 53. |
If an equivalent triangle is circumscribed about a circle of radius 10 cm, determine the side of the triangle. |
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Answer» 34.64 CM 34.64 cm |
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| 54. |
A wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15 feet from the pole. Determine the length of the wire and the angle it makes with the pole. |
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Answer» 25 ft, 36.87° |
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| 55. |
If cos 65° + cos 55° = cos θ, find θ in radians |
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Answer» 0.087 0.087 |
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| 56. |
The sine of a certain angle is 0.6, calculate the cotangent of the angle. |
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Answer» 4/3 4/3 |
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| 57. |
Find the value of A between 270° and 360° if sin^2 A – sin A = 1 |
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Answer» 330° 330° |
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| 58. |
Find the value of sin (arc cos15/17) |
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Answer» 8/17 8/17 |
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| 59. |
If sec 2A =1/sin13A, determine the angle A in degrees. |
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Answer» 6° 6° |
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| 61. |
Solve the remaining side of the spherical triangle whose given parts are A = B = 80° and a = b = 89°. |
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Answer» 168°31 168°31’ |
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| 62. |
A spherical triangle ABC has an angle C = 90° and sides a = 50° and c = 80°. Find the value of b in degrees. |
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Answer» 74.33 74.33 |
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| 63. |
Solve for side b of a right spherical triangle ABC whose parts are a = 46°, c = 75° and C = 90°. |
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Answer» 48° 48° |
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| 64. |
If the longitude of Tokyo is 139°E and that of Manila is 121°E, what is the time difference between Tokyo and Manila? |
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Answer» 1 hour and 10 minutes |
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| 65. |
Considering Cosine rule, cos C is equal to |
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Answer» a² + b² - c²2ab a² + b² - c²⁄2ab |
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| 66. |
If cos 55° and sin 55° = 0.8 each then answer of cos 125° + 5 sin 55° is |
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Answer» 2.4 2.4 |
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| 68. |
Formula for area of a triangle ABC is |
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Answer» 1/2ab SIN C = 1/2bc sin A = 1/2ac sin B 1/2ab sin C = 1/2bc sin A = 1/2ac sin B |
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| 69. |
Considering 0° < x < 180°, angle of sin x = 0.2385 is |
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Answer» 13.80° , 166.20° 13.80° , 166.20° |
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| 70. |
Evaluate: (2sinθcosθ-cosθ)/(1 – sin θ+ sin^2θ – cos^2θ) |
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Answer» COT ¸ cot θ |
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| 71. |
If conversed sin θ= 0.134, find the value of θ |
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Answer» 60° 60° |
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| 72. |
Simplify the following: [(cos A + cos B)/(sin A – sin B)] + [(sin A + sin B)/(cos A – cos B)] |
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Answer» 0 0 |
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| 73. |
Solve for the value of A° when sin A = 3.5 x and cos A = 5.5 x |
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Answer» 32.47° 32.47° |
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| 74. |
If sin A = 2.511x, cos A = 3.06x and sin 2A = 3.39x, find the value of x? |
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Answer» 0.256 0.256 |
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| 75. |
Determine the value of the angle of an isosceles spherical triangle ABC whose given parts are b = c = 54°28’ and a = 92°30’. |
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Answer» 89°45 89°45’ |
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| 76. |
Solve for angle C of the oblique spherical triangle ABC given, a = 80°, c = 115° and A = 72° |
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Answer» 95° 95° |
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| 77. |
Determine the spherical excess of the spherical triangle ABC given a = 56°, b = 65°, and c = 78°. |
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Answer» 68°37 68°37’ |
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| 78. |
Given a right spherical triangle whose parts are a = 82°, b = 62°, and C = 90°. What is the value of the side opposite the right angle? |
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Answer» 86°15 86°15’ |
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| 79. |
Solve the angle A in the spherical triangle ABC given a = 106°25’, c = 42°16’ and B = 114°53’ |
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Answer» 45°54 45°54’ |
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