SOLUTION: Right triangle CAT has a right angle at A. CA = 3 and CT = 5. What is the value of the tan T? Please enter your answer as only a fraction. May you solve it all the way please

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Right triangle CAT has a right angle at A. CA = 3 and CT = 5. What is the value of the tan T? Please enter your answer as only a fraction. May you solve it all the way please      Log On


   

Question 1082906: Right triangle CAT has a right angle at A. CA = 3 and CT = 5. What is the value of the tan T? Please enter your answer as only a fraction.
May you solve it all the way please!! Needed for graduation!
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Right triangle CAT has a right angle at A.

if
CA+=+3 ->adjacent side
CT+=+5->hypotenuse
=> third side is AT=sqrt%285%5E2-3%5E2%29=sqrt%2816%29=4->opposite side
then, the value of the tan+%28T%29=%28opposite_side%29%2Fadjacent_side,
highlight%28tan+%28T%29=4%2F3%29
if you need angle in degrees:
T=tan%5E-1%284%2F3%29
T=53.13°

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
Right triangle CAT has a right angle at A. CA = 3 and CT = 5. What is the value of the tan T? Please enter your answer as only a fraction.
May you solve it all the way please!! Needed for graduation!
Correct answer: highlight_green%28matrix%281%2C4%2C+%22tan%22%2C+%22%28T%29%22%2C+%22=%22%2C+3%2F4%29%29

This is a 3-4-5 Pythag.-triple triangle.

IGNORE all other INCORRECT answers!