The angle of elevation of an aircraft from a point K on the horizontal ground...

MATHEMATICS
WAEC 2015

The angle of elevation of an aircraft from a point K on the horizontal ground 30°. If the aircraft is 800m above the ground, how far is it from K?

  • A. 400.00m
  • B. 692.82m
  • C. 923.76m
  • D. 1,600.99m

Correct Answer: D. 1,600.99m

Explanation

In \(\bigtriangleup\)KBC, sin 30 = \(\frac{800}{IKCI}\)

IKCL = \(\frac{800}{sin30^o}\)

= \(\frac{800}{0.5}\)

= 1600m



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