Answer:
sinA = 0.79 tanA = 1.3
Explanation:
Step1:
Find the length of the line going through the middle from A to C by using pythagorean theorem.
a = 13
b = 12
c= ?
c = sqrt(a^2 + b^2)
c = sqrt(13^2 +12^2)
c = 17.69
Step 2:
Use pythagorean theorem again to find the length of the line going from A to D.
a = ?
b = 14
c = 17.69
c^2 = a^2 + b^2
Now solve for a.
a^2 = c^2 - b^2
a = sqrt(c^2 - b^2)
a = sqrt(17.69^2 - 14^2)
a = 10.81
Step 3:
Use trignometry to find the values of sinA and tanA
sinA = opposite/hypotenuse = 14/17.69 = 0.79
tanA = opposite/adjacent = 14/10.81 =1.3