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
Correct Answer: B. 104.05m
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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