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Trigonometry – MBA CET questions with solutions

3 questions · CET 2025 · Easy 3 · Medium 0 · Hard 0. Newest paper first. Full papers

Q142EasyCET 2025 · Slot 4 · Q142

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

  1. 270m
  2. 273m
  3. 173m
  4. 275m
  5. 175m
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Answer: B

Approach: tan θ = height / base.

Solution:
Ship at 30°: distance = 100 × cot 30° = 100√3 ≈ 173.2 m.
Ship at 45°: distance = 100 × cot 45° = 100 m.
Opposite sides ⇒ distance between ships = 173.2 + 100 = 273.2 ≈ 273 m.

Why the other options are wrong:
C (173 m): only one ship's distance.
A, D, E: rounding or arithmetic slips; 100(√3 + 1) = 273.2.

Answer: B

Solution figure for question 142Solution figure for question 142
Q135EasyCET 2025 · Slot 3 · Q135
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6m away from wall. What is the length of the ladder?
  1. 2.3
  2. 9.2
  3. 4.6
  4. 7.8
  5. 1.1
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Answer: B

Approach: Ladder = hypotenuse; distance from wall = adjacent side.

Solution: cos 60° = 4.6 / L → 1/2 = 4.6 / L → L = 9.2 m.

Answer: B

Solution figure for question 135
Q133EasyCET 2025 · Slot 1 · Q133
A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student ?
Figure for MBA CET 2025 Slot 1 question 133
  1. 35.7m
  2. 75.2m
  3. 50m
  4. 73.2m
  5. 75m
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Answer: D

Approach: Use the 45° angle for the distance, the 60° angle for the total height.

Solution:
Building = 100 m, angle 45° → distance x = 100 m
Top of student: tan 60° = (100 + h)/100
100 + h = 100√3 = 173.2
h = 73.2 m

Cetking shortcut: h = 100(√3 − 1) = 100 × 0.732 = 73.2.

Answer: D

Solution figure for question 133

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