An explorer is mapping a canyon in a remote region
MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry
Problem
An explorer is mapping a canyon in a remote region. From a designated point A, the explorer measures the distance to the northern edge of the canyon and finds it to be 1200 meters. Simultaneously, the distance to the southern edge of the canyon from point A is measured to be 800 meters. If the angle between the two lines of sight is 75∘, select the value that represents the width of the canyon correct to nearest meter.
(1) A 1258
(2) B 1266
(3) C 1158
(4) D 1926