WAEC Mathematics 2023 Question 35

Question 35

Trigonometry

The angle of elevation of the top of a vertical 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.104.05 m
B.147.78 m
C.161.87 m
D.192.91 m

Show the answer and explanation

Answer: A (104.05 m)

Explanation

tan 50° = 124/d, so d = 124 ÷ 1.1918 ≈ 104.05 m.