Point X and Y are on the same horizontal base as the foot of a...

FURTHER MATHEMATICS
WAEC 2019

Point X and Y are on the same horizontal base as the foot of a building such that X is 96m due east of the building and Y is due west. If the angle of elevation of the top of that building from X is 30\(^o\) and that of Y is 50\(^o\), calculate the distance of Y from the base of the building.

  • A. 30m
  • B. 32m
  • C. 42m
  • D. 50m

Correct Answer: B. 32m

Explanation

h = 96 Tan 30\(^o\) = 55.425

P = \(\frac{55.425}{Tan60^o}\)

= 32m



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