Someone please help out and show work for brainlist answer!!

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.

This is a map of the mars exploration rover opportunity predicted landing site on mars. the scale is 1cm : 9.4km. what are the approximate measures of the actual length and width of the ellipse? i mostly need to know how to set it up : )