Two observers stand on the same straight horizontal road on the same side of a…
MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry
Problem
Two observers stand on the same straight horizontal road on the same side of a vertical flagstaff. The observer farther from the flagstaff sees its top at an angle of elevation of 30∘, while the nearer observer measures 45∘. Which of the following statements is always true?
(a) The height of the flagstaff equals the distance between the two observers.
(b) The height of the flagstaff equals 3 times the distance of the farther observer from its foot.
(c) The height of the flagstaff equals the distance of the nearer observer from its foot.
(d) The height of the flagstaff equals the distance of the farther observer from its foot.