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The angle of elevation of the top of a building from a point Z on...

Mathematics
WAEC 2023

The angle of elevation of the top of a building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.

  • A. 147.78m
  • B. 104.05m
  • C. 161.87m
  • D. 192.91m
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Correct Answer: Option B
Explanation

From the diagram above; Tan\(\theta = \frac{opp}{adj}\)

tan50° = \(\frac{124}{d}\)

d = \(\frac{124}{tan50}\)

therefore, d = 104.05m


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts