How do I find tangent ratios? (problem attached) please explain how to do it.

Question

anonymous · Answer

attachment

jim_thompson5910 · Answer

tangent = opposite/adjacent

jim_thompson5910 · Answer

the opposite side is the leg furthest from angle A, which is 9 

the adjacent side is the leg closest to angle A, that's 40

jim_thompson5910 · Answer

so,

tan(A) = opp/adj

tan(A) = 9/40

jim_thompson5910 · Answer

then you would use a calculator to get 9/40 = 0.225 making tan(A) = 0.225

anonymous · Answer

Thank you so much I understand. :) could you help me on one more??

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

the same sides are involved

tan(angle) = opp/adj

tan(32) = x/16

16*tan(32) = x

x = 16*tan(32)

x = ??

anonymous · Answer

do i multiply those two? @jim_thompson5910

jim_thompson5910 · Answer

yes 16 times tan(32)

so you first find the value of tan(32), then you multiply by 16

anonymous · Answer

Which would be c. 10?? @jim_thompson5910

jim_thompson5910 · Answer

x = 16*tan(32)

x = 16*0.62486935190932

x = 9.99790963054912

x = 10 ... the closest thing on the list

so yes