Search SchoolNGR

Wednesday, 04 March 2026
Register . Login

The angle of elevation of a building from a measuring instrument placed on the ground ...

The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A \(\frac{20}{√3}\)m
  • B \(\frac{40}{√3}\)m
  • C 20√3m
  • D 40√3m
Correct Answer: Option D
Explanation:
\(\frac{40}{x}\) = tan 30o
x = \(\frac{40}{tan 36}\)
= \(\frac{40}{1\sqrt{3}}\)
= 40√3m

Share question on: