Question

PLEASE HURRY AND ANSWER

The figure shows a 1175-yard-long sand beach and an oil platform in the ocean. The angle made with the platform from one end of the beach is 85 deg and from the other end is 75 deg Find the distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.

Answer 1

x/(sin 76) = 1175/(sin(180 - (83 + 76))

x/(sin 76) = 1175/(sin 21)

x = 3,181.4 yd

y/(sin 83) = 1175/(sin(180 - (83 + 76))

y/(sin 83) = 1175/(sin 21)

y = 3,254.3 yd

The platform is 3,181.4 yards far from one end of the beach and 3,254.3 yd far from the other.