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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
From the diagram above; Tan\(\theta = \frac{opp}{adj}\)
tan50° = \(\frac{124}{d}\)
d = \(\frac{124}{tan50}\)
therefore, d = 104.05m
Source: WAEC / JAMB / NECO Classroom Archive (Record #68966)