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From the top of a cliff 20m high, a boat can be sighted at sea...

Mathematics
WAEC 1999

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff

  • A. 14.9 o
  • B. 15.5 o
  • C. 74.5 o
  • D. 75.1 o
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Correct Answer: Option A
Explanation

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\(\tan x = \frac{20}{75} = 0.267\)

\(x = \tan^{-1} 0.267 = 14.93°\)

\(\approxeq\) 14.9°

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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709