19. From two ships due east of a lighthouse and in line with its foot, the angles of

elevation of the top of the lighthouse are x and y, with x > y. The distance between the

ships is M. The distance from the lighthouse to the nearer ship is?

Question

Ansley Weaver

Mathematics

31 January, 07:09

19. From two ships due east of a lighthouse and in line with its foot, the angles of

elevation of the top of the lighthouse are x and y, with x > y. The distance between the

ships is M. The distance from the lighthouse to the nearer ship is?

+2

Answers (1)

Know the Answer?

Emmanuel Hart · Answer 1

Step-by-step explanation:

tan x = AB / BC+M

tan y=AB / BC

tan y * BC = tan x * (BC + M)

tan y * BC / tan x = (BC + M)

tan y * BC - M * tan x / tan x = BC

19. From two ships due east of a lighthouse and in line with its foot, the angles ofelevation of the top of the lighthouse are x and y, with x > y. The distance between theships is M. The distance from the lighthouse to the nearer ship is?

19. From two ships due east of a lighthouse and in line with its foot, the angles of

elevation of the top of the lighthouse are x and y, with x > y. The distance between the

ships is M. The distance from the lighthouse to the nearer ship is?