Post-UTME Mathematics 2009 Objective — Question 14
Question 14 of 15 from the Post-UTME Screening (Post-UTME) Mathematics 2009 Objective paper, with the correct answer and a full explanation.
Advertisement
The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have an angle of depression of 35° and 55° from two successive points. Find the distance between the two points of observation.
- A. 10(sin35°-sin55°)
- B. 10(cos35°-cos55°)
- C. 10(tan35°-tan55°)Correct
- D. 10(cot35°-cot55°)
Explanation
The horizontal distances are 10/tan35° and 10/tan55°; using cotangent-tangent complementary relations, the difference simplifies to a multiple of (tan55°-tan35°), matching option C in magnitude.
Advertisement
Sign up free to unlock
- Score tracking
- Practice history
- Saved questions
- Progress dashboard
- Personalized sessions
- Weak-topic breakdown
…and/or go further with premium services and No Ads.