SOLUTION: given that the hypotenuse of this right triangle is 25 cm long and that tan theta is 3. find the values of x and y, accurate to the nearest tenth.

Algebra ->  Trigonometry-basics -> SOLUTION: given that the hypotenuse of this right triangle is 25 cm long and that tan theta is 3. find the values of x and y, accurate to the nearest tenth.       Log On


   

Question 965632: given that the hypotenuse of this right triangle is 25 cm long and that tan theta is 3. find the values of x and y, accurate to the nearest tenth.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'll assume y is opposite of angle theta and x is adjacent to it.
y%2Fx=3
y=3x
x%5E2%2By%5E2=25
x%5E2%2B9x%5E2=25
10x%5E2=25
x%5E2=25%2F10
x%5E2=5%2F2
x=%285%2F2%29sqrt%282%29
y=%2815%2F2%29sqrt%282%29