Quote:
Originally Posted by Stuck686  4) in right triangle, an acute angle and its adjacent side measure 40degrees and 15 feet respectively. draw a diagram to detemrine the measures of the other side, hypotenuse, and other acute angle. |
Ok, i drew a diagram like you told me to, now what?
Now we find what they asked us to find...duh
easier said than done, as is anything in life--except watching tv
let the hypotenuse be a, the opposite side be b and the unknown angle be x (see diagram below)
Let's find the hypotenuse first.
cos(40) = 15/a
=> a = 15/cos(40) = 19.581
now we know two sides. we can use trig rations to find the other side, or pythagoreans theorem. let's keep practicing our trig ratios (warning, i rounded off decimal places, so the answers are not exact)
tan(40) = b/15
=> b = 15tan(40) = 12.586
for the other angle, angles in a triangle add up to 180
so x = 180 - (40 + 90) = 50