If you have a right triangle and the bottom of it is 67' and the angle between the bottom and the diagnal of it is 40 degrees. How long is the line going straight up? Remember it is 90 degrees from the bottom and the line going straight up. Could you tell me how you did it?
2006-09-26 17:25:46 · 3 answers · asked by hiltonjay23 1 in Education & Reference ➔ Homework Help
Use cosine =opposite/adjacent
cosine 40 = y/67
67* cosine 40 = y
y = 51
2006-09-26 17:29:17 · answer #1 · answered by odu83 7 · 0⤊ 1⤋
for any right triangle:
|\
| \
| \ hypotenuse (slanting side)
| \
|__\ angle here = <
this is the adjacent side
sin < = opposite side divided by hypotenuse
cos < = adjacent side divided by hypotenuse
tan < = opposite side divided by adjacent side
therefore the "straight up line" = opposite side.
tan 40 = opposite side divided by 67'
therefore, opposite side = 67' x tan 40.
quantify.
2006-09-27 00:34:30 · answer #2 · answered by grifter_xiii 2 · 0⤊ 0⤋
ok the 67 is on the line ADJACENT to the 40degrees. and you are trying to find the line that is OPPOSITE to the 40degrees. the formula for tangent is opposite/adjacent. tan=opp/adj so you do:
tan40=x/67.
67(tan40)=x
56.21967529=x
56.22=x
so the line would be 56.22ft. long
2006-09-27 00:36:50 · answer #3 · answered by sacto_sis 1 · 0⤊ 0⤋