A triangle with sides 16 and 2 has heights to these sides. The height drawn to the first side is 1.

A triangle with sides 16 and 2 has heights to these sides. The height drawn to the first side is 1. What is the height drawn to the second side?

Let a triangle ABC be given (figure below). AB = 16, BC = 2, CD = 1, CDB angle = 90
The CDB triangle is rectangular, so
CD = BC * sin (CBD).
sin (CBD) = 1/2
CBD = 30 degrees.
Set aside from point A.
Triangle AEB is rectangular, so
AE = AB * sin (ABE)
AE = 16 * (1/2) = 8 cm.
Answer: 8 cm.