Two office buildings are 300 feet apart. The taller building is 800 feet tall. The angle of depression from the observation deck (top) of the taller building to the top of the shorter building is 15 degrees. How tall is the shorter building.

hello,

as   long as they add up to 180 its correct.

secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16

answer: 1.5

step-by-step explana